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Simplifying 3(2k + -5) + -1k = 4 + -1(3k + -7) Reorder the terms: 3(-5 + 2k) + -1k = 4 + -1(3k + -7) (-5 * 3 + 2k * 3) + -1k = 4 + -1(3k + -7) (-15 + 6k) + -1k = 4 + -1(3k + -7) Combine like terms: 6k + -1k = 5k -15 + 5k = 4 + -1(3k + -7) Reorder the terms: -15 + 5k = 4 + -1(-7 + 3k) -15 + 5k = 4 + (-7 * -1 + 3k * -1) -15 + 5k = 4 + (7 + -3k) Combine like terms: 4 + 7 = 11 -15 + 5k = 11 + -3k Solving -15 + 5k = 11 + -3k 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. -15 + 5k + 3k = 11 + -3k + 3k Combine like terms: 5k + 3k = 8k -15 + 8k = 11 + -3k + 3k Combine like terms: -3k + 3k = 0 -15 + 8k = 11 + 0 -15 + 8k = 11 Add '15' to each side of the equation. -15 + 15 + 8k = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = 11 + 15 8k = 11 + 15 Combine like terms: 11 + 15 = 26 8k = 26 Divide each side by '8'. k = 3.25 Simplifying k = 3.25
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