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Simplifying -5(3 + -1w) = 2(3w + 3) (3 * -5 + -1w * -5) = 2(3w + 3) (-15 + 5w) = 2(3w + 3) Reorder the terms: -15 + 5w = 2(3 + 3w) -15 + 5w = (3 * 2 + 3w * 2) -15 + 5w = (6 + 6w) Solving -15 + 5w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -15 + 5w + -6w = 6 + 6w + -6w Combine like terms: 5w + -6w = -1w -15 + -1w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -1w = 6 + 0 -15 + -1w = 6 Add '15' to each side of the equation. -15 + 15 + -1w = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = 6 + 15 -1w = 6 + 15 Combine like terms: 6 + 15 = 21 -1w = 21 Divide each side by '-1'. w = -21 Simplifying w = -21
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