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Simplifying 17 = 4(k + -15) + 13 Reorder the terms: 17 = 4(-15 + k) + 13 17 = (-15 * 4 + k * 4) + 13 17 = (-60 + 4k) + 13 Reorder the terms: 17 = -60 + 13 + 4k Combine like terms: -60 + 13 = -47 17 = -47 + 4k Solving 17 = -47 + 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. 17 + -4k = -47 + 4k + -4k Combine like terms: 4k + -4k = 0 17 + -4k = -47 + 0 17 + -4k = -47 Add '-17' to each side of the equation. 17 + -17 + -4k = -47 + -17 Combine like terms: 17 + -17 = 0 0 + -4k = -47 + -17 -4k = -47 + -17 Combine like terms: -47 + -17 = -64 -4k = -64 Divide each side by '-4'. k = 16 Simplifying k = 16
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