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Simplifying 6(5k + -8) + -15 = 12(3k + -2) + 4k Reorder the terms: 6(-8 + 5k) + -15 = 12(3k + -2) + 4k (-8 * 6 + 5k * 6) + -15 = 12(3k + -2) + 4k (-48 + 30k) + -15 = 12(3k + -2) + 4k Reorder the terms: -48 + -15 + 30k = 12(3k + -2) + 4k Combine like terms: -48 + -15 = -63 -63 + 30k = 12(3k + -2) + 4k Reorder the terms: -63 + 30k = 12(-2 + 3k) + 4k -63 + 30k = (-2 * 12 + 3k * 12) + 4k -63 + 30k = (-24 + 36k) + 4k Combine like terms: 36k + 4k = 40k -63 + 30k = -24 + 40k Solving -63 + 30k = -24 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -63 + 30k + -40k = -24 + 40k + -40k Combine like terms: 30k + -40k = -10k -63 + -10k = -24 + 40k + -40k Combine like terms: 40k + -40k = 0 -63 + -10k = -24 + 0 -63 + -10k = -24 Add '63' to each side of the equation. -63 + 63 + -10k = -24 + 63 Combine like terms: -63 + 63 = 0 0 + -10k = -24 + 63 -10k = -24 + 63 Combine like terms: -24 + 63 = 39 -10k = 39 Divide each side by '-10'. k = -3.9 Simplifying k = -3.9
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