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Simplifying 6(5k + -8) + -15 = 12(3k + -2) + 4 Reorder the terms: 6(-8 + 5k) + -15 = 12(3k + -2) + 4 (-8 * 6 + 5k * 6) + -15 = 12(3k + -2) + 4 (-48 + 30k) + -15 = 12(3k + -2) + 4 Reorder the terms: -48 + -15 + 30k = 12(3k + -2) + 4 Combine like terms: -48 + -15 = -63 -63 + 30k = 12(3k + -2) + 4 Reorder the terms: -63 + 30k = 12(-2 + 3k) + 4 -63 + 30k = (-2 * 12 + 3k * 12) + 4 -63 + 30k = (-24 + 36k) + 4 Reorder the terms: -63 + 30k = -24 + 4 + 36k Combine like terms: -24 + 4 = -20 -63 + 30k = -20 + 36k Solving -63 + 30k = -20 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. -63 + 30k + -36k = -20 + 36k + -36k Combine like terms: 30k + -36k = -6k -63 + -6k = -20 + 36k + -36k Combine like terms: 36k + -36k = 0 -63 + -6k = -20 + 0 -63 + -6k = -20 Add '63' to each side of the equation. -63 + 63 + -6k = -20 + 63 Combine like terms: -63 + 63 = 0 0 + -6k = -20 + 63 -6k = -20 + 63 Combine like terms: -20 + 63 = 43 -6k = 43 Divide each side by '-6'. k = -7.166666667 Simplifying k = -7.166666667
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