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Simplifying 63 = -4(1 + 3k) + -5 63 = (1 * -4 + 3k * -4) + -5 63 = (-4 + -12k) + -5 Reorder the terms: 63 = -4 + -5 + -12k Combine like terms: -4 + -5 = -9 63 = -9 + -12k Solving 63 = -9 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 63 + 12k = -9 + -12k + 12k Combine like terms: -12k + 12k = 0 63 + 12k = -9 + 0 63 + 12k = -9 Add '-63' to each side of the equation. 63 + -63 + 12k = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 12k = -9 + -63 12k = -9 + -63 Combine like terms: -9 + -63 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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