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Simplifying 9(k + -2) = 3(8k + -4) Reorder the terms: 9(-2 + k) = 3(8k + -4) (-2 * 9 + k * 9) = 3(8k + -4) (-18 + 9k) = 3(8k + -4) Reorder the terms: -18 + 9k = 3(-4 + 8k) -18 + 9k = (-4 * 3 + 8k * 3) -18 + 9k = (-12 + 24k) Solving -18 + 9k = -12 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -18 + 9k + -24k = -12 + 24k + -24k Combine like terms: 9k + -24k = -15k -18 + -15k = -12 + 24k + -24k Combine like terms: 24k + -24k = 0 -18 + -15k = -12 + 0 -18 + -15k = -12 Add '18' to each side of the equation. -18 + 18 + -15k = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -15k = -12 + 18 -15k = -12 + 18 Combine like terms: -12 + 18 = 6 -15k = 6 Divide each side by '-15'. k = -0.4 Simplifying k = -0.4
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