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Simplifying 127 = -5(-4k + 4) + 7 Reorder the terms: 127 = -5(4 + -4k) + 7 127 = (4 * -5 + -4k * -5) + 7 127 = (-20 + 20k) + 7 Reorder the terms: 127 = -20 + 7 + 20k Combine like terms: -20 + 7 = -13 127 = -13 + 20k Solving 127 = -13 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 127 + -20k = -13 + 20k + -20k Combine like terms: 20k + -20k = 0 127 + -20k = -13 + 0 127 + -20k = -13 Add '-127' to each side of the equation. 127 + -127 + -20k = -13 + -127 Combine like terms: 127 + -127 = 0 0 + -20k = -13 + -127 -20k = -13 + -127 Combine like terms: -13 + -127 = -140 -20k = -140 Divide each side by '-20'. k = 7 Simplifying k = 7
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