13k+3(k+22)=8k-7

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Solution for 13k+3(k+22)=8k-7 equation:


Simplifying
13k + 3(k + 22) = 8k + -7

Reorder the terms:
13k + 3(22 + k) = 8k + -7
13k + (22 * 3 + k * 3) = 8k + -7
13k + (66 + 3k) = 8k + -7

Reorder the terms:
66 + 13k + 3k = 8k + -7

Combine like terms: 13k + 3k = 16k
66 + 16k = 8k + -7

Reorder the terms:
66 + 16k = -7 + 8k

Solving
66 + 16k = -7 + 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.
66 + 16k + -8k = -7 + 8k + -8k

Combine like terms: 16k + -8k = 8k
66 + 8k = -7 + 8k + -8k

Combine like terms: 8k + -8k = 0
66 + 8k = -7 + 0
66 + 8k = -7

Add '-66' to each side of the equation.
66 + -66 + 8k = -7 + -66

Combine like terms: 66 + -66 = 0
0 + 8k = -7 + -66
8k = -7 + -66

Combine like terms: -7 + -66 = -73
8k = -73

Divide each side by '8'.
k = -9.125

Simplifying
k = -9.125

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