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Simplifying -33 = -2 + 3(k + -9) Reorder the terms: -33 = -2 + 3(-9 + k) -33 = -2 + (-9 * 3 + k * 3) -33 = -2 + (-27 + 3k) Combine like terms: -2 + -27 = -29 -33 = -29 + 3k Solving -33 = -29 + 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. -33 + -3k = -29 + 3k + -3k Combine like terms: 3k + -3k = 0 -33 + -3k = -29 + 0 -33 + -3k = -29 Add '33' to each side of the equation. -33 + 33 + -3k = -29 + 33 Combine like terms: -33 + 33 = 0 0 + -3k = -29 + 33 -3k = -29 + 33 Combine like terms: -29 + 33 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333
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