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Simplifying -3 = 4(k + 7) + -15 Reorder the terms: -3 = 4(7 + k) + -15 -3 = (7 * 4 + k * 4) + -15 -3 = (28 + 4k) + -15 Reorder the terms: -3 = 28 + -15 + 4k Combine like terms: 28 + -15 = 13 -3 = 13 + 4k Solving -3 = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -3 + -4k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 -3 + -4k = 13 + 0 -3 + -4k = 13 Add '3' to each side of the equation. -3 + 3 + -4k = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -4k = 13 + 3 -4k = 13 + 3 Combine like terms: 13 + 3 = 16 -4k = 16 Divide each side by '-4'. k = -4 Simplifying k = -4
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