9(k+3)-(-6k-4)=14k

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Solution for 9(k+3)-(-6k-4)=14k equation:


Simplifying
9(k + 3) + -1(-6k + -4) = 14k

Reorder the terms:
9(3 + k) + -1(-6k + -4) = 14k
(3 * 9 + k * 9) + -1(-6k + -4) = 14k
(27 + 9k) + -1(-6k + -4) = 14k

Reorder the terms:
27 + 9k + -1(-4 + -6k) = 14k
27 + 9k + (-4 * -1 + -6k * -1) = 14k
27 + 9k + (4 + 6k) = 14k

Reorder the terms:
27 + 4 + 9k + 6k = 14k

Combine like terms: 27 + 4 = 31
31 + 9k + 6k = 14k

Combine like terms: 9k + 6k = 15k
31 + 15k = 14k

Solving
31 + 15k = 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
31 + 15k + -14k = 14k + -14k

Combine like terms: 15k + -14k = 1k
31 + 1k = 14k + -14k

Combine like terms: 14k + -14k = 0
31 + 1k = 0

Add '-31' to each side of the equation.
31 + -31 + 1k = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 1k = 0 + -31
1k = 0 + -31

Combine like terms: 0 + -31 = -31
1k = -31

Divide each side by '1'.
k = -31

Simplifying
k = -31

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