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