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Simplifying -8w + -48 = 4(w + 9) Reorder the terms: -48 + -8w = 4(w + 9) Reorder the terms: -48 + -8w = 4(9 + w) -48 + -8w = (9 * 4 + w * 4) -48 + -8w = (36 + 4w) Solving -48 + -8w = 36 + 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. -48 + -8w + -4w = 36 + 4w + -4w Combine like terms: -8w + -4w = -12w -48 + -12w = 36 + 4w + -4w Combine like terms: 4w + -4w = 0 -48 + -12w = 36 + 0 -48 + -12w = 36 Add '48' to each side of the equation. -48 + 48 + -12w = 36 + 48 Combine like terms: -48 + 48 = 0 0 + -12w = 36 + 48 -12w = 36 + 48 Combine like terms: 36 + 48 = 84 -12w = 84 Divide each side by '-12'. w = -7 Simplifying w = -7
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