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Simplifying 6(-5k + -18) + -18 = 9 + -17k + 2k Reorder the terms: 6(-18 + -5k) + -18 = 9 + -17k + 2k (-18 * 6 + -5k * 6) + -18 = 9 + -17k + 2k (-108 + -30k) + -18 = 9 + -17k + 2k Reorder the terms: -108 + -18 + -30k = 9 + -17k + 2k Combine like terms: -108 + -18 = -126 -126 + -30k = 9 + -17k + 2k Combine like terms: -17k + 2k = -15k -126 + -30k = 9 + -15k Solving -126 + -30k = 9 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -126 + -30k + 15k = 9 + -15k + 15k Combine like terms: -30k + 15k = -15k -126 + -15k = 9 + -15k + 15k Combine like terms: -15k + 15k = 0 -126 + -15k = 9 + 0 -126 + -15k = 9 Add '126' to each side of the equation. -126 + 126 + -15k = 9 + 126 Combine like terms: -126 + 126 = 0 0 + -15k = 9 + 126 -15k = 9 + 126 Combine like terms: 9 + 126 = 135 -15k = 135 Divide each side by '-15'. k = -9 Simplifying k = -9
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