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Simplifying 3(k + -3) + -8 = 4k + -1(3k + -2) Reorder the terms: 3(-3 + k) + -8 = 4k + -1(3k + -2) (-3 * 3 + k * 3) + -8 = 4k + -1(3k + -2) (-9 + 3k) + -8 = 4k + -1(3k + -2) Reorder the terms: -9 + -8 + 3k = 4k + -1(3k + -2) Combine like terms: -9 + -8 = -17 -17 + 3k = 4k + -1(3k + -2) Reorder the terms: -17 + 3k = 4k + -1(-2 + 3k) -17 + 3k = 4k + (-2 * -1 + 3k * -1) -17 + 3k = 4k + (2 + -3k) Reorder the terms: -17 + 3k = 2 + 4k + -3k Combine like terms: 4k + -3k = 1k -17 + 3k = 2 + 1k Solving -17 + 3k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -17 + 3k + -1k = 2 + 1k + -1k Combine like terms: 3k + -1k = 2k -17 + 2k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -17 + 2k = 2 + 0 -17 + 2k = 2 Add '17' to each side of the equation. -17 + 17 + 2k = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 2k = 2 + 17 2k = 2 + 17 Combine like terms: 2 + 17 = 19 2k = 19 Divide each side by '2'. k = 9.5 Simplifying k = 9.5
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