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Simplifying 3(k + -2) + 2(-2k + -5) = -17 Reorder the terms: 3(-2 + k) + 2(-2k + -5) = -17 (-2 * 3 + k * 3) + 2(-2k + -5) = -17 (-6 + 3k) + 2(-2k + -5) = -17 Reorder the terms: -6 + 3k + 2(-5 + -2k) = -17 -6 + 3k + (-5 * 2 + -2k * 2) = -17 -6 + 3k + (-10 + -4k) = -17 Reorder the terms: -6 + -10 + 3k + -4k = -17 Combine like terms: -6 + -10 = -16 -16 + 3k + -4k = -17 Combine like terms: 3k + -4k = -1k -16 + -1k = -17 Solving -16 + -1k = -17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1k = -17 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = -17 + 16 -1k = -17 + 16 Combine like terms: -17 + 16 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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