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Simplifying -6w + 48 = 2(w + 4) Reorder the terms: 48 + -6w = 2(w + 4) Reorder the terms: 48 + -6w = 2(4 + w) 48 + -6w = (4 * 2 + w * 2) 48 + -6w = (8 + 2w) Solving 48 + -6w = 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. 48 + -6w + -2w = 8 + 2w + -2w Combine like terms: -6w + -2w = -8w 48 + -8w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 48 + -8w = 8 + 0 48 + -8w = 8 Add '-48' to each side of the equation. 48 + -48 + -8w = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -8w = 8 + -48 -8w = 8 + -48 Combine like terms: 8 + -48 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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