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Simplifying -3 + 3(6 + 5k) = -4(1 + -4k) + 3 -3 + (6 * 3 + 5k * 3) = -4(1 + -4k) + 3 -3 + (18 + 15k) = -4(1 + -4k) + 3 Combine like terms: -3 + 18 = 15 15 + 15k = -4(1 + -4k) + 3 15 + 15k = (1 * -4 + -4k * -4) + 3 15 + 15k = (-4 + 16k) + 3 Reorder the terms: 15 + 15k = -4 + 3 + 16k Combine like terms: -4 + 3 = -1 15 + 15k = -1 + 16k Solving 15 + 15k = -1 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 15 + 15k + -16k = -1 + 16k + -16k Combine like terms: 15k + -16k = -1k 15 + -1k = -1 + 16k + -16k Combine like terms: 16k + -16k = 0 15 + -1k = -1 + 0 15 + -1k = -1 Add '-15' to each side of the equation. 15 + -15 + -1k = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -1k = -1 + -15 -1k = -1 + -15 Combine like terms: -1 + -15 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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