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Simplifying -4w + -46 = 2(w + 4) Reorder the terms: -46 + -4w = 2(w + 4) Reorder the terms: -46 + -4w = 2(4 + w) -46 + -4w = (4 * 2 + w * 2) -46 + -4w = (8 + 2w) Solving -46 + -4w = 8 + 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. -46 + -4w + -2w = 8 + 2w + -2w Combine like terms: -4w + -2w = -6w -46 + -6w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -46 + -6w = 8 + 0 -46 + -6w = 8 Add '46' to each side of the equation. -46 + 46 + -6w = 8 + 46 Combine like terms: -46 + 46 = 0 0 + -6w = 8 + 46 -6w = 8 + 46 Combine like terms: 8 + 46 = 54 -6w = 54 Divide each side by '-6'. w = -9 Simplifying w = -9
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