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Simplifying 4w + 30 = -2(w + 6) Reorder the terms: 30 + 4w = -2(w + 6) Reorder the terms: 30 + 4w = -2(6 + w) 30 + 4w = (6 * -2 + w * -2) 30 + 4w = (-12 + -2w) Solving 30 + 4w = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 30 + 4w + 2w = -12 + -2w + 2w Combine like terms: 4w + 2w = 6w 30 + 6w = -12 + -2w + 2w Combine like terms: -2w + 2w = 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 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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