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Simplifying 6(5k + -8) + -20 = 11(2k + -3k) + 3k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3k) + 3k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3k) + 3k (-48 + 30k) + -20 = 11(2k + -3k) + 3k Reorder the terms: -48 + -20 + 30k = 11(2k + -3k) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3k) + 3k Combine like terms: 2k + -3k = -1k -68 + 30k = 11(-1k) + 3k Remove parenthesis around (-1k) -68 + 30k = 11 * -1k + 3k Multiply 11 * -1 -68 + 30k = -11k + 3k Combine like terms: -11k + 3k = -8k -68 + 30k = -8k Solving -68 + 30k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -68 + 30k + 8k = -8k + 8k Combine like terms: 30k + 8k = 38k -68 + 38k = -8k + 8k Combine like terms: -8k + 8k = 0 -68 + 38k = 0 Add '68' to each side of the equation. -68 + 68 + 38k = 0 + 68 Combine like terms: -68 + 68 = 0 0 + 38k = 0 + 68 38k = 0 + 68 Combine like terms: 0 + 68 = 68 38k = 68 Divide each side by '38'. k = 1.789473684 Simplifying k = 1.789473684
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