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Simplifying -5(-6k + -12) + -1 = -18 + -19 + 14k Reorder the terms: -5(-12 + -6k) + -1 = -18 + -19 + 14k (-12 * -5 + -6k * -5) + -1 = -18 + -19 + 14k (60 + 30k) + -1 = -18 + -19 + 14k Reorder the terms: 60 + -1 + 30k = -18 + -19 + 14k Combine like terms: 60 + -1 = 59 59 + 30k = -18 + -19 + 14k Combine like terms: -18 + -19 = -37 59 + 30k = -37 + 14k Solving 59 + 30k = -37 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 59 + 30k + -14k = -37 + 14k + -14k Combine like terms: 30k + -14k = 16k 59 + 16k = -37 + 14k + -14k Combine like terms: 14k + -14k = 0 59 + 16k = -37 + 0 59 + 16k = -37 Add '-59' to each side of the equation. 59 + -59 + 16k = -37 + -59 Combine like terms: 59 + -59 = 0 0 + 16k = -37 + -59 16k = -37 + -59 Combine like terms: -37 + -59 = -96 16k = -96 Divide each side by '16'. k = -6 Simplifying k = -6
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