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Simplifying -35 + 4k = -3(-6k + -7) Reorder the terms: -35 + 4k = -3(-7 + -6k) -35 + 4k = (-7 * -3 + -6k * -3) -35 + 4k = (21 + 18k) Solving -35 + 4k = 21 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -35 + 4k + -18k = 21 + 18k + -18k Combine like terms: 4k + -18k = -14k -35 + -14k = 21 + 18k + -18k Combine like terms: 18k + -18k = 0 -35 + -14k = 21 + 0 -35 + -14k = 21 Add '35' to each side of the equation. -35 + 35 + -14k = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -14k = 21 + 35 -14k = 21 + 35 Combine like terms: 21 + 35 = 56 -14k = 56 Divide each side by '-14'. k = -4 Simplifying k = -4
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