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Simplifying -3(1 + 5k) = 2(-8k + -7) (1 * -3 + 5k * -3) = 2(-8k + -7) (-3 + -15k) = 2(-8k + -7) Reorder the terms: -3 + -15k = 2(-7 + -8k) -3 + -15k = (-7 * 2 + -8k * 2) -3 + -15k = (-14 + -16k) Solving -3 + -15k = -14 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -3 + -15k + 16k = -14 + -16k + 16k Combine like terms: -15k + 16k = 1k -3 + 1k = -14 + -16k + 16k Combine like terms: -16k + 16k = 0 -3 + 1k = -14 + 0 -3 + 1k = -14 Add '3' to each side of the equation. -3 + 3 + 1k = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = -14 + 3 1k = -14 + 3 Combine like terms: -14 + 3 = -11 1k = -11 Divide each side by '1'. k = -11 Simplifying k = -11
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