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Simplifying -3(w + 4) = 3w + -30 Reorder the terms: -3(4 + w) = 3w + -30 (4 * -3 + w * -3) = 3w + -30 (-12 + -3w) = 3w + -30 Reorder the terms: -12 + -3w = -30 + 3w Solving -12 + -3w = -30 + 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. -12 + -3w + -3w = -30 + 3w + -3w Combine like terms: -3w + -3w = -6w -12 + -6w = -30 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + -6w = -30 + 0 -12 + -6w = -30 Add '12' to each side of the equation. -12 + 12 + -6w = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = -30 + 12 -6w = -30 + 12 Combine like terms: -30 + 12 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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