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Simplifying 89 = -5(6 + 4k) + 3 89 = (6 * -5 + 4k * -5) + 3 89 = (-30 + -20k) + 3 Reorder the terms: 89 = -30 + 3 + -20k Combine like terms: -30 + 3 = -27 89 = -27 + -20k Solving 89 = -27 + -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. 89 + 20k = -27 + -20k + 20k Combine like terms: -20k + 20k = 0 89 + 20k = -27 + 0 89 + 20k = -27 Add '-89' to each side of the equation. 89 + -89 + 20k = -27 + -89 Combine like terms: 89 + -89 = 0 0 + 20k = -27 + -89 20k = -27 + -89 Combine like terms: -27 + -89 = -116 20k = -116 Divide each side by '20'. k = -5.8 Simplifying k = -5.8
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