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Simplifying -30 = 6(w + -3) + -3w Reorder the terms: -30 = 6(-3 + w) + -3w -30 = (-3 * 6 + w * 6) + -3w -30 = (-18 + 6w) + -3w Combine like terms: 6w + -3w = 3w -30 = -18 + 3w Solving -30 = -18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -30 + -3w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -30 + -3w = -18 + 0 -30 + -3w = -18 Add '30' to each side of the equation. -30 + 30 + -3w = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -3w = -18 + 30 -3w = -18 + 30 Combine like terms: -18 + 30 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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