Math Problem Statement

Solve the equations: a) -n + 2n - 4 = 3n + 19 for n, b) (1/4)p - 1 = (1/8)(p - 3) for p, c) 4c + 1 = 5(4c + 2) for c, d) 0.9j - 0.15 = 0.2(j + 3) - 0.3j for j.

Solution

It seems that there was an issue displaying the image directly. However, I can still solve the equations visible from the image you uploaded. Here are the four equations:

a) Solve for nn

n+2n4=3n+19-n + 2n - 4 = 3n + 19

b) Solve for pp

14p1=18(p3)\frac{1}{4}p - 1 = \frac{1}{8}(p - 3)

c) Solve for cc

4c+1=5(4c+2)4c + 1 = 5(4c + 2)

d) Solve for jj

0.9j0.15=0.2(j+3)0.3j0.9j - 0.15 = 0.2(j + 3) - 0.3j

I'll now solve each equation step-by-step.It seems like I can’t do more advanced data analysis right now. Please try again later.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Fractions
Decimals

Formulas

Simplifying linear equations
Solving for variables in equations

Theorems

Basic algebraic manipulation

Suitable Grade Level

Grade 8-10