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Simplifying 36(k + -2) = 16 + 3k + -29 Reorder the terms: 36(-2 + k) = 16 + 3k + -29 (-2 * 36 + k * 36) = 16 + 3k + -29 (-72 + 36k) = 16 + 3k + -29 Reorder the terms: -72 + 36k = 16 + -29 + 3k Combine like terms: 16 + -29 = -13 -72 + 36k = -13 + 3k Solving -72 + 36k = -13 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -72 + 36k + -3k = -13 + 3k + -3k Combine like terms: 36k + -3k = 33k -72 + 33k = -13 + 3k + -3k Combine like terms: 3k + -3k = 0 -72 + 33k = -13 + 0 -72 + 33k = -13 Add '72' to each side of the equation. -72 + 72 + 33k = -13 + 72 Combine like terms: -72 + 72 = 0 0 + 33k = -13 + 72 33k = -13 + 72 Combine like terms: -13 + 72 = 59 33k = 59 Divide each side by '33'. k = 1.787878788 Simplifying k = 1.787878788
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