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Simplifying 5(k + -2) + -5 = 5k + -1(4k + -2) Reorder the terms: 5(-2 + k) + -5 = 5k + -1(4k + -2) (-2 * 5 + k * 5) + -5 = 5k + -1(4k + -2) (-10 + 5k) + -5 = 5k + -1(4k + -2) Reorder the terms: -10 + -5 + 5k = 5k + -1(4k + -2) Combine like terms: -10 + -5 = -15 -15 + 5k = 5k + -1(4k + -2) Reorder the terms: -15 + 5k = 5k + -1(-2 + 4k) -15 + 5k = 5k + (-2 * -1 + 4k * -1) -15 + 5k = 5k + (2 + -4k) Reorder the terms: -15 + 5k = 2 + 5k + -4k Combine like terms: 5k + -4k = 1k -15 + 5k = 2 + 1k Solving -15 + 5k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -15 + 5k + -1k = 2 + 1k + -1k Combine like terms: 5k + -1k = 4k -15 + 4k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -15 + 4k = 2 + 0 -15 + 4k = 2 Add '15' to each side of the equation. -15 + 15 + 4k = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 4k = 2 + 15 4k = 2 + 15 Combine like terms: 2 + 15 = 17 4k = 17 Divide each side by '4'. k = 4.25 Simplifying k = 4.25
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