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Simplifying -8(w + 6) = -6w + -46 Reorder the terms: -8(6 + w) = -6w + -46 (6 * -8 + w * -8) = -6w + -46 (-48 + -8w) = -6w + -46 Reorder the terms: -48 + -8w = -46 + -6w Solving -48 + -8w = -46 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -48 + -8w + 6w = -46 + -6w + 6w Combine like terms: -8w + 6w = -2w -48 + -2w = -46 + -6w + 6w Combine like terms: -6w + 6w = 0 -48 + -2w = -46 + 0 -48 + -2w = -46 Add '48' to each side of the equation. -48 + 48 + -2w = -46 + 48 Combine like terms: -48 + 48 = 0 0 + -2w = -46 + 48 -2w = -46 + 48 Combine like terms: -46 + 48 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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