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