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Simplifying 6(5k + -8) + -20 = 11(2k + -3) * 3 + 3k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3) * 3 + 3k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3) * 3 + 3k (-48 + 30k) + -20 = 11(2k + -3) * 3 + 3k Reorder the terms: -48 + -20 + 30k = 11(2k + -3) * 3 + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3) * 3 + 3k Reorder the terms: -68 + 30k = 11(-3 + 2k) * 3 + 3k Reorder the terms for easier multiplication: -68 + 30k = 11 * 3(-3 + 2k) + 3k Multiply 11 * 3 -68 + 30k = 33(-3 + 2k) + 3k -68 + 30k = (-3 * 33 + 2k * 33) + 3k -68 + 30k = (-99 + 66k) + 3k Combine like terms: 66k + 3k = 69k -68 + 30k = -99 + 69k Solving -68 + 30k = -99 + 69k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-69k' to each side of the equation. -68 + 30k + -69k = -99 + 69k + -69k Combine like terms: 30k + -69k = -39k -68 + -39k = -99 + 69k + -69k Combine like terms: 69k + -69k = 0 -68 + -39k = -99 + 0 -68 + -39k = -99 Add '68' to each side of the equation. -68 + 68 + -39k = -99 + 68 Combine like terms: -68 + 68 = 0 0 + -39k = -99 + 68 -39k = -99 + 68 Combine like terms: -99 + 68 = -31 -39k = -31 Divide each side by '-39'. k = 0.7948717949 Simplifying k = 0.7948717949
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