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Simplifying -8(w + -3) = -2w + 30 Reorder the terms: -8(-3 + w) = -2w + 30 (-3 * -8 + w * -8) = -2w + 30 (24 + -8w) = -2w + 30 Reorder the terms: 24 + -8w = 30 + -2w Solving 24 + -8w = 30 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 24 + -8w + 2w = 30 + -2w + 2w Combine like terms: -8w + 2w = -6w 24 + -6w = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 24 + -6w = 30 + 0 24 + -6w = 30 Add '-24' to each side of the equation. 24 + -24 + -6w = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = 30 + -24 -6w = 30 + -24 Combine like terms: 30 + -24 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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