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Simplifying 4w + -48 = -4(w + -4) Reorder the terms: -48 + 4w = -4(w + -4) Reorder the terms: -48 + 4w = -4(-4 + w) -48 + 4w = (-4 * -4 + w * -4) -48 + 4w = (16 + -4w) Solving -48 + 4w = 16 + -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 + 4w + 4w = 16 + -4w + 4w Combine like terms: 4w + 4w = 8w -48 + 8w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 -48 + 8w = 16 + 0 -48 + 8w = 16 Add '48' to each side of the equation. -48 + 48 + 8w = 16 + 48 Combine like terms: -48 + 48 = 0 0 + 8w = 16 + 48 8w = 16 + 48 Combine like terms: 16 + 48 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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