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Simplifying 4(k + -2) + -7 = 6k + -1(5k + -2) Reorder the terms: 4(-2 + k) + -7 = 6k + -1(5k + -2) (-2 * 4 + k * 4) + -7 = 6k + -1(5k + -2) (-8 + 4k) + -7 = 6k + -1(5k + -2) Reorder the terms: -8 + -7 + 4k = 6k + -1(5k + -2) Combine like terms: -8 + -7 = -15 -15 + 4k = 6k + -1(5k + -2) Reorder the terms: -15 + 4k = 6k + -1(-2 + 5k) -15 + 4k = 6k + (-2 * -1 + 5k * -1) -15 + 4k = 6k + (2 + -5k) Reorder the terms: -15 + 4k = 2 + 6k + -5k Combine like terms: 6k + -5k = 1k -15 + 4k = 2 + 1k Solving -15 + 4k = 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 + 4k + -1k = 2 + 1k + -1k Combine like terms: 4k + -1k = 3k -15 + 3k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -15 + 3k = 2 + 0 -15 + 3k = 2 Add '15' to each side of the equation. -15 + 15 + 3k = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 3k = 2 + 15 3k = 2 + 15 Combine like terms: 2 + 15 = 17 3k = 17 Divide each side by '3'. k = 5.666666667 Simplifying k = 5.666666667
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