-2k+10(7+k)=10(k-7)+12k

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Solution for -2k+10(7+k)=10(k-7)+12k equation:


Simplifying
-2k + 10(7 + k) = 10(k + -7) + 12k
-2k + (7 * 10 + k * 10) = 10(k + -7) + 12k
-2k + (70 + 10k) = 10(k + -7) + 12k

Reorder the terms:
70 + -2k + 10k = 10(k + -7) + 12k

Combine like terms: -2k + 10k = 8k
70 + 8k = 10(k + -7) + 12k

Reorder the terms:
70 + 8k = 10(-7 + k) + 12k
70 + 8k = (-7 * 10 + k * 10) + 12k
70 + 8k = (-70 + 10k) + 12k

Combine like terms: 10k + 12k = 22k
70 + 8k = -70 + 22k

Solving
70 + 8k = -70 + 22k

Solving for variable 'k'.

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

Add '-22k' to each side of the equation.
70 + 8k + -22k = -70 + 22k + -22k

Combine like terms: 8k + -22k = -14k
70 + -14k = -70 + 22k + -22k

Combine like terms: 22k + -22k = 0
70 + -14k = -70 + 0
70 + -14k = -70

Add '-70' to each side of the equation.
70 + -70 + -14k = -70 + -70

Combine like terms: 70 + -70 = 0
0 + -14k = -70 + -70
-14k = -70 + -70

Combine like terms: -70 + -70 = -140
-14k = -140

Divide each side by '-14'.
k = 10

Simplifying
k = 10

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