-5(3k+1)-4(1-k)=2(4k+1)-7

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Solution for -5(3k+1)-4(1-k)=2(4k+1)-7 equation:


Simplifying
-5(3k + 1) + -4(1 + -1k) = 2(4k + 1) + -7

Reorder the terms:
-5(1 + 3k) + -4(1 + -1k) = 2(4k + 1) + -7
(1 * -5 + 3k * -5) + -4(1 + -1k) = 2(4k + 1) + -7
(-5 + -15k) + -4(1 + -1k) = 2(4k + 1) + -7
-5 + -15k + (1 * -4 + -1k * -4) = 2(4k + 1) + -7
-5 + -15k + (-4 + 4k) = 2(4k + 1) + -7

Reorder the terms:
-5 + -4 + -15k + 4k = 2(4k + 1) + -7

Combine like terms: -5 + -4 = -9
-9 + -15k + 4k = 2(4k + 1) + -7

Combine like terms: -15k + 4k = -11k
-9 + -11k = 2(4k + 1) + -7

Reorder the terms:
-9 + -11k = 2(1 + 4k) + -7
-9 + -11k = (1 * 2 + 4k * 2) + -7
-9 + -11k = (2 + 8k) + -7

Reorder the terms:
-9 + -11k = 2 + -7 + 8k

Combine like terms: 2 + -7 = -5
-9 + -11k = -5 + 8k

Solving
-9 + -11k = -5 + 8k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-8k' to each side of the equation.
-9 + -11k + -8k = -5 + 8k + -8k

Combine like terms: -11k + -8k = -19k
-9 + -19k = -5 + 8k + -8k

Combine like terms: 8k + -8k = 0
-9 + -19k = -5 + 0
-9 + -19k = -5

Add '9' to each side of the equation.
-9 + 9 + -19k = -5 + 9

Combine like terms: -9 + 9 = 0
0 + -19k = -5 + 9
-19k = -5 + 9

Combine like terms: -5 + 9 = 4
-19k = 4

Divide each side by '-19'.
k = -0.2105263158

Simplifying
k = -0.2105263158

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