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Simplifying 5(2k + -2) = 5(k + -6) Reorder the terms: 5(-2 + 2k) = 5(k + -6) (-2 * 5 + 2k * 5) = 5(k + -6) (-10 + 10k) = 5(k + -6) Reorder the terms: -10 + 10k = 5(-6 + k) -10 + 10k = (-6 * 5 + k * 5) -10 + 10k = (-30 + 5k) Solving -10 + 10k = -30 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -10 + 10k + -5k = -30 + 5k + -5k Combine like terms: 10k + -5k = 5k -10 + 5k = -30 + 5k + -5k Combine like terms: 5k + -5k = 0 -10 + 5k = -30 + 0 -10 + 5k = -30 Add '10' to each side of the equation. -10 + 10 + 5k = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = -30 + 10 5k = -30 + 10 Combine like terms: -30 + 10 = -20 5k = -20 Divide each side by '5'. k = -4 Simplifying k = -4
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