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Simplifying -46 + 10k = 2(-9 + 7k) -46 + 10k = (-9 * 2 + 7k * 2) -46 + 10k = (-18 + 14k) Solving -46 + 10k = -18 + 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. -46 + 10k + -14k = -18 + 14k + -14k Combine like terms: 10k + -14k = -4k -46 + -4k = -18 + 14k + -14k Combine like terms: 14k + -14k = 0 -46 + -4k = -18 + 0 -46 + -4k = -18 Add '46' to each side of the equation. -46 + 46 + -4k = -18 + 46 Combine like terms: -46 + 46 = 0 0 + -4k = -18 + 46 -4k = -18 + 46 Combine like terms: -18 + 46 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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