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Simplifying -2w + -48 = -8(w + 3) Reorder the terms: -48 + -2w = -8(w + 3) Reorder the terms: -48 + -2w = -8(3 + w) -48 + -2w = (3 * -8 + w * -8) -48 + -2w = (-24 + -8w) Solving -48 + -2w = -24 + -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 + -2w + 8w = -24 + -8w + 8w Combine like terms: -2w + 8w = 6w -48 + 6w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 -48 + 6w = -24 + 0 -48 + 6w = -24 Add '48' to each side of the equation. -48 + 48 + 6w = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 6w = -24 + 48 6w = -24 + 48 Combine like terms: -24 + 48 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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