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Simplifying 5 + 2(k + 4) = 5(k + -3) + 10 Reorder the terms: 5 + 2(4 + k) = 5(k + -3) + 10 5 + (4 * 2 + k * 2) = 5(k + -3) + 10 5 + (8 + 2k) = 5(k + -3) + 10 Combine like terms: 5 + 8 = 13 13 + 2k = 5(k + -3) + 10 Reorder the terms: 13 + 2k = 5(-3 + k) + 10 13 + 2k = (-3 * 5 + k * 5) + 10 13 + 2k = (-15 + 5k) + 10 Reorder the terms: 13 + 2k = -15 + 10 + 5k Combine like terms: -15 + 10 = -5 13 + 2k = -5 + 5k Solving 13 + 2k = -5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 13 + 2k + -5k = -5 + 5k + -5k Combine like terms: 2k + -5k = -3k 13 + -3k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 13 + -3k = -5 + 0 13 + -3k = -5 Add '-13' to each side of the equation. 13 + -13 + -3k = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = -5 + -13 -3k = -5 + -13 Combine like terms: -5 + -13 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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