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Simplifying 10(k + -3) = -2k + 12 Reorder the terms: 10(-3 + k) = -2k + 12 (-3 * 10 + k * 10) = -2k + 12 (-30 + 10k) = -2k + 12 Reorder the terms: -30 + 10k = 12 + -2k Solving -30 + 10k = 12 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -30 + 10k + 2k = 12 + -2k + 2k Combine like terms: 10k + 2k = 12k -30 + 12k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 -30 + 12k = 12 + 0 -30 + 12k = 12 Add '30' to each side of the equation. -30 + 30 + 12k = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 12k = 12 + 30 12k = 12 + 30 Combine like terms: 12 + 30 = 42 12k = 42 Divide each side by '12'. k = 3.5 Simplifying k = 3.5
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