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Simplifying -76 = 4(1 + 5k) -76 = (1 * 4 + 5k * 4) -76 = (4 + 20k) Solving -76 = 4 + 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. -76 + -20k = 4 + 20k + -20k Combine like terms: 20k + -20k = 0 -76 + -20k = 4 + 0 -76 + -20k = 4 Add '76' to each side of the equation. -76 + 76 + -20k = 4 + 76 Combine like terms: -76 + 76 = 0 0 + -20k = 4 + 76 -20k = 4 + 76 Combine like terms: 4 + 76 = 80 -20k = 80 Divide each side by '-20'. k = -4 Simplifying k = -4
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