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Simplifying k + -9 = 3(k + -2) Reorder the terms: -9 + k = 3(k + -2) Reorder the terms: -9 + k = 3(-2 + k) -9 + k = (-2 * 3 + k * 3) -9 + k = (-6 + 3k) Solving -9 + k = -6 + 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. -9 + k + -3k = -6 + 3k + -3k Combine like terms: k + -3k = -2k -9 + -2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 -9 + -2k = -6 + 0 -9 + -2k = -6 Add '9' to each side of the equation. -9 + 9 + -2k = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = -6 + 9 -2k = -6 + 9 Combine like terms: -6 + 9 = 3 -2k = 3 Divide each side by '-2'. k = -1.5 Simplifying k = -1.5
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