6-3k+4(-2k+7)-(-15k)=70

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Solution for 6-3k+4(-2k+7)-(-15k)=70 equation:


Simplifying
6 + -3k + 4(-2k + 7) + -1(-15k) = 70

Reorder the terms:
6 + -3k + 4(7 + -2k) + -1(-15k) = 70
6 + -3k + (7 * 4 + -2k * 4) + -1(-15k) = 70
6 + -3k + (28 + -8k) + -1(-15k) = 70

Remove parenthesis around (-15k)
6 + -3k + 28 + -8k + -1 * -15k = 70

Multiply -1 * -15
6 + -3k + 28 + -8k + 15k = 70

Reorder the terms:
6 + 28 + -3k + -8k + 15k = 70

Combine like terms: 6 + 28 = 34
34 + -3k + -8k + 15k = 70

Combine like terms: -3k + -8k = -11k
34 + -11k + 15k = 70

Combine like terms: -11k + 15k = 4k
34 + 4k = 70

Solving
34 + 4k = 70

Solving for variable 'k'.

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

Add '-34' to each side of the equation.
34 + -34 + 4k = 70 + -34

Combine like terms: 34 + -34 = 0
0 + 4k = 70 + -34
4k = 70 + -34

Combine like terms: 70 + -34 = 36
4k = 36

Divide each side by '4'.
k = 9

Simplifying
k = 9

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