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Simplifying -3k + 5(6 + -1k) = 7 + -2(x + -3) -3k + (6 * 5 + -1k * 5) = 7 + -2(x + -3) -3k + (30 + -5k) = 7 + -2(x + -3) Reorder the terms: 30 + -3k + -5k = 7 + -2(x + -3) Combine like terms: -3k + -5k = -8k 30 + -8k = 7 + -2(x + -3) Reorder the terms: 30 + -8k = 7 + -2(-3 + x) 30 + -8k = 7 + (-3 * -2 + x * -2) 30 + -8k = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 30 + -8k = 13 + -2x Solving 30 + -8k = 13 + -2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -8k = 13 + -30 + -2x Combine like terms: 30 + -30 = 0 0 + -8k = 13 + -30 + -2x -8k = 13 + -30 + -2x Combine like terms: 13 + -30 = -17 -8k = -17 + -2x Divide each side by '-8'. k = 2.125 + 0.25x Simplifying k = 2.125 + 0.25x
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