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Simplifying 6(5k + -8) + -20 = 11(2k + -3) + -3k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3) + -3k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3) + -3k (-48 + 30k) + -20 = 11(2k + -3) + -3k Reorder the terms: -48 + -20 + 30k = 11(2k + -3) + -3k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3) + -3k Reorder the terms: -68 + 30k = 11(-3 + 2k) + -3k -68 + 30k = (-3 * 11 + 2k * 11) + -3k -68 + 30k = (-33 + 22k) + -3k Combine like terms: 22k + -3k = 19k -68 + 30k = -33 + 19k Solving -68 + 30k = -33 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. -68 + 30k + -19k = -33 + 19k + -19k Combine like terms: 30k + -19k = 11k -68 + 11k = -33 + 19k + -19k Combine like terms: 19k + -19k = 0 -68 + 11k = -33 + 0 -68 + 11k = -33 Add '68' to each side of the equation. -68 + 68 + 11k = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 11k = -33 + 68 11k = -33 + 68 Combine like terms: -33 + 68 = 35 11k = 35 Divide each side by '11'. k = 3.181818182 Simplifying k = 3.181818182
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