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Simplifying 63 = -3(4 + -5k) 63 = (4 * -3 + -5k * -3) 63 = (-12 + 15k) Solving 63 = -12 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 63 + -15k = -12 + 15k + -15k Combine like terms: 15k + -15k = 0 63 + -15k = -12 + 0 63 + -15k = -12 Add '-63' to each side of the equation. 63 + -63 + -15k = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -15k = -12 + -63 -15k = -12 + -63 Combine like terms: -12 + -63 = -75 -15k = -75 Divide each side by '-15'. k = 5 Simplifying k = 5
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