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Simplifying 3(2k + -2) + -4(k + 5) = 8 + 3k Reorder the terms: 3(-2 + 2k) + -4(k + 5) = 8 + 3k (-2 * 3 + 2k * 3) + -4(k + 5) = 8 + 3k (-6 + 6k) + -4(k + 5) = 8 + 3k Reorder the terms: -6 + 6k + -4(5 + k) = 8 + 3k -6 + 6k + (5 * -4 + k * -4) = 8 + 3k -6 + 6k + (-20 + -4k) = 8 + 3k Reorder the terms: -6 + -20 + 6k + -4k = 8 + 3k Combine like terms: -6 + -20 = -26 -26 + 6k + -4k = 8 + 3k Combine like terms: 6k + -4k = 2k -26 + 2k = 8 + 3k Solving -26 + 2k = 8 + 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. -26 + 2k + -3k = 8 + 3k + -3k Combine like terms: 2k + -3k = -1k -26 + -1k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 -26 + -1k = 8 + 0 -26 + -1k = 8 Add '26' to each side of the equation. -26 + 26 + -1k = 8 + 26 Combine like terms: -26 + 26 = 0 0 + -1k = 8 + 26 -1k = 8 + 26 Combine like terms: 8 + 26 = 34 -1k = 34 Divide each side by '-1'. k = -34 Simplifying k = -34
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