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Simplifying 3(k + -3) = 8(k + -6) + 8k Reorder the terms: 3(-3 + k) = 8(k + -6) + 8k (-3 * 3 + k * 3) = 8(k + -6) + 8k (-9 + 3k) = 8(k + -6) + 8k Reorder the terms: -9 + 3k = 8(-6 + k) + 8k -9 + 3k = (-6 * 8 + k * 8) + 8k -9 + 3k = (-48 + 8k) + 8k Combine like terms: 8k + 8k = 16k -9 + 3k = -48 + 16k Solving -9 + 3k = -48 + 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. -9 + 3k + -16k = -48 + 16k + -16k Combine like terms: 3k + -16k = -13k -9 + -13k = -48 + 16k + -16k Combine like terms: 16k + -16k = 0 -9 + -13k = -48 + 0 -9 + -13k = -48 Add '9' to each side of the equation. -9 + 9 + -13k = -48 + 9 Combine like terms: -9 + 9 = 0 0 + -13k = -48 + 9 -13k = -48 + 9 Combine like terms: -48 + 9 = -39 -13k = -39 Divide each side by '-13'. k = 3 Simplifying k = 3
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