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Simplifying -5 + 2(-2 + 2k) = 5 + 3(k + -3) -5 + (-2 * 2 + 2k * 2) = 5 + 3(k + -3) -5 + (-4 + 4k) = 5 + 3(k + -3) Combine like terms: -5 + -4 = -9 -9 + 4k = 5 + 3(k + -3) Reorder the terms: -9 + 4k = 5 + 3(-3 + k) -9 + 4k = 5 + (-3 * 3 + k * 3) -9 + 4k = 5 + (-9 + 3k) Combine like terms: 5 + -9 = -4 -9 + 4k = -4 + 3k Solving -9 + 4k = -4 + 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 + 4k + -3k = -4 + 3k + -3k Combine like terms: 4k + -3k = 1k -9 + 1k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 -9 + 1k = -4 + 0 -9 + 1k = -4 Add '9' to each side of the equation. -9 + 9 + 1k = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 1k = -4 + 9 1k = -4 + 9 Combine like terms: -4 + 9 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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