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Simplifying 5 + 3(k + -4) = 2(k + 1) Reorder the terms: 5 + 3(-4 + k) = 2(k + 1) 5 + (-4 * 3 + k * 3) = 2(k + 1) 5 + (-12 + 3k) = 2(k + 1) Combine like terms: 5 + -12 = -7 -7 + 3k = 2(k + 1) Reorder the terms: -7 + 3k = 2(1 + k) -7 + 3k = (1 * 2 + k * 2) -7 + 3k = (2 + 2k) Solving -7 + 3k = 2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -7 + 3k + -2k = 2 + 2k + -2k Combine like terms: 3k + -2k = 1k -7 + 1k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -7 + 1k = 2 + 0 -7 + 1k = 2 Add '7' to each side of the equation. -7 + 7 + 1k = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1k = 2 + 7 1k = 2 + 7 Combine like terms: 2 + 7 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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