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Simplifying 2w + -30 = -4(w + 3) Reorder the terms: -30 + 2w = -4(w + 3) Reorder the terms: -30 + 2w = -4(3 + w) -30 + 2w = (3 * -4 + w * -4) -30 + 2w = (-12 + -4w) Solving -30 + 2w = -12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -30 + 2w + 4w = -12 + -4w + 4w Combine like terms: 2w + 4w = 6w -30 + 6w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 -30 + 6w = -12 + 0 -30 + 6w = -12 Add '30' to each side of the equation. -30 + 30 + 6w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 6w = -12 + 30 6w = -12 + 30 Combine like terms: -12 + 30 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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