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Simplifying 6(5k + -8) + -20 = 12(2k + -3) + 3k Reorder the terms: 6(-8 + 5k) + -20 = 12(2k + -3) + 3k (-8 * 6 + 5k * 6) + -20 = 12(2k + -3) + 3k (-48 + 30k) + -20 = 12(2k + -3) + 3k Reorder the terms: -48 + -20 + 30k = 12(2k + -3) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = 12(2k + -3) + 3k Reorder the terms: -68 + 30k = 12(-3 + 2k) + 3k -68 + 30k = (-3 * 12 + 2k * 12) + 3k -68 + 30k = (-36 + 24k) + 3k Combine like terms: 24k + 3k = 27k -68 + 30k = -36 + 27k Solving -68 + 30k = -36 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. -68 + 30k + -27k = -36 + 27k + -27k Combine like terms: 30k + -27k = 3k -68 + 3k = -36 + 27k + -27k Combine like terms: 27k + -27k = 0 -68 + 3k = -36 + 0 -68 + 3k = -36 Add '68' to each side of the equation. -68 + 68 + 3k = -36 + 68 Combine like terms: -68 + 68 = 0 0 + 3k = -36 + 68 3k = -36 + 68 Combine like terms: -36 + 68 = 32 3k = 32 Divide each side by '3'. k = 10.66666667 Simplifying k = 10.66666667
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