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Simplifying -10 = -4(5k + -3) + -2 Reorder the terms: -10 = -4(-3 + 5k) + -2 -10 = (-3 * -4 + 5k * -4) + -2 -10 = (12 + -20k) + -2 Reorder the terms: -10 = 12 + -2 + -20k Combine like terms: 12 + -2 = 10 -10 = 10 + -20k Solving -10 = 10 + -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. -10 + 20k = 10 + -20k + 20k Combine like terms: -20k + 20k = 0 -10 + 20k = 10 + 0 -10 + 20k = 10 Add '10' to each side of the equation. -10 + 10 + 20k = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 20k = 10 + 10 20k = 10 + 10 Combine like terms: 10 + 10 = 20 20k = 20 Divide each side by '20'. k = 1 Simplifying k = 1
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