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Simplifying -36 + -8k = -7(5k + 2) + 5 Reorder the terms: -36 + -8k = -7(2 + 5k) + 5 -36 + -8k = (2 * -7 + 5k * -7) + 5 -36 + -8k = (-14 + -35k) + 5 Reorder the terms: -36 + -8k = -14 + 5 + -35k Combine like terms: -14 + 5 = -9 -36 + -8k = -9 + -35k Solving -36 + -8k = -9 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. -36 + -8k + 35k = -9 + -35k + 35k Combine like terms: -8k + 35k = 27k -36 + 27k = -9 + -35k + 35k Combine like terms: -35k + 35k = 0 -36 + 27k = -9 + 0 -36 + 27k = -9 Add '36' to each side of the equation. -36 + 36 + 27k = -9 + 36 Combine like terms: -36 + 36 = 0 0 + 27k = -9 + 36 27k = -9 + 36 Combine like terms: -9 + 36 = 27 27k = 27 Divide each side by '27'. k = 1 Simplifying k = 1
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