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Simplifying -10 = 2(k + -9) Reorder the terms: -10 = 2(-9 + k) -10 = (-9 * 2 + k * 2) -10 = (-18 + 2k) Solving -10 = -18 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -10 + -2k = -18 + 2k + -2k Combine like terms: 2k + -2k = 0 -10 + -2k = -18 + 0 -10 + -2k = -18 Add '10' to each side of the equation. -10 + 10 + -2k = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = -18 + 10 -2k = -18 + 10 Combine like terms: -18 + 10 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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