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Simplifying -2(5 + -2k) = 3(1 + 2k) (5 * -2 + -2k * -2) = 3(1 + 2k) (-10 + 4k) = 3(1 + 2k) -10 + 4k = (1 * 3 + 2k * 3) -10 + 4k = (3 + 6k) Solving -10 + 4k = 3 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + 4k + -6k = 3 + 6k + -6k Combine like terms: 4k + -6k = -2k -10 + -2k = 3 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + -2k = 3 + 0 -10 + -2k = 3 Add '10' to each side of the equation. -10 + 10 + -2k = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = 3 + 10 -2k = 3 + 10 Combine like terms: 3 + 10 = 13 -2k = 13 Divide each side by '-2'. k = -6.5 Simplifying k = -6.5
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