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Simplifying -4w + 48 = -8(w + -7) Reorder the terms: 48 + -4w = -8(w + -7) Reorder the terms: 48 + -4w = -8(-7 + w) 48 + -4w = (-7 * -8 + w * -8) 48 + -4w = (56 + -8w) Solving 48 + -4w = 56 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 48 + -4w + 8w = 56 + -8w + 8w Combine like terms: -4w + 8w = 4w 48 + 4w = 56 + -8w + 8w Combine like terms: -8w + 8w = 0 48 + 4w = 56 + 0 48 + 4w = 56 Add '-48' to each side of the equation. 48 + -48 + 4w = 56 + -48 Combine like terms: 48 + -48 = 0 0 + 4w = 56 + -48 4w = 56 + -48 Combine like terms: 56 + -48 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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