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Simplifying 4(k + 2) + -8k + -5 = -3k + 9 + 2(1 + -15x) Reorder the terms: 4(2 + k) + -8k + -5 = -3k + 9 + 2(1 + -15x) (2 * 4 + k * 4) + -8k + -5 = -3k + 9 + 2(1 + -15x) (8 + 4k) + -8k + -5 = -3k + 9 + 2(1 + -15x) Reorder the terms: 8 + -5 + 4k + -8k = -3k + 9 + 2(1 + -15x) Combine like terms: 8 + -5 = 3 3 + 4k + -8k = -3k + 9 + 2(1 + -15x) Combine like terms: 4k + -8k = -4k 3 + -4k = -3k + 9 + 2(1 + -15x) 3 + -4k = -3k + 9 + (1 * 2 + -15x * 2) 3 + -4k = -3k + 9 + (2 + -30x) Reorder the terms: 3 + -4k = 9 + 2 + -3k + -30x Combine like terms: 9 + 2 = 11 3 + -4k = 11 + -3k + -30x Solving 3 + -4k = 11 + -3k + -30x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 3 + -4k + 3k = 11 + -3k + 3k + -30x Combine like terms: -4k + 3k = -1k 3 + -1k = 11 + -3k + 3k + -30x Combine like terms: -3k + 3k = 0 3 + -1k = 11 + 0 + -30x 3 + -1k = 11 + -30x Add '-3' to each side of the equation. 3 + -3 + -1k = 11 + -3 + -30x Combine like terms: 3 + -3 = 0 0 + -1k = 11 + -3 + -30x -1k = 11 + -3 + -30x Combine like terms: 11 + -3 = 8 -1k = 8 + -30x Divide each side by '-1'. k = -8 + 30x Simplifying k = -8 + 30x
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