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Simplifying 4(3k + -6) + -3(2k + -5) + -1(k + 8) = 49 Reorder the terms: 4(-6 + 3k) + -3(2k + -5) + -1(k + 8) = 49 (-6 * 4 + 3k * 4) + -3(2k + -5) + -1(k + 8) = 49 (-24 + 12k) + -3(2k + -5) + -1(k + 8) = 49 Reorder the terms: -24 + 12k + -3(-5 + 2k) + -1(k + 8) = 49 -24 + 12k + (-5 * -3 + 2k * -3) + -1(k + 8) = 49 -24 + 12k + (15 + -6k) + -1(k + 8) = 49 Reorder the terms: -24 + 12k + 15 + -6k + -1(8 + k) = 49 -24 + 12k + 15 + -6k + (8 * -1 + k * -1) = 49 -24 + 12k + 15 + -6k + (-8 + -1k) = 49 Reorder the terms: -24 + 15 + -8 + 12k + -6k + -1k = 49 Combine like terms: -24 + 15 = -9 -9 + -8 + 12k + -6k + -1k = 49 Combine like terms: -9 + -8 = -17 -17 + 12k + -6k + -1k = 49 Combine like terms: 12k + -6k = 6k -17 + 6k + -1k = 49 Combine like terms: 6k + -1k = 5k -17 + 5k = 49 Solving -17 + 5k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5k = 49 + 17 Combine like terms: -17 + 17 = 0 0 + 5k = 49 + 17 5k = 49 + 17 Combine like terms: 49 + 17 = 66 5k = 66 Divide each side by '5'. k = 13.2 Simplifying k = 13.2
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