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Simplifying -2w + -30 = -8(w + -3) Reorder the terms: -30 + -2w = -8(w + -3) Reorder the terms: -30 + -2w = -8(-3 + w) -30 + -2w = (-3 * -8 + w * -8) -30 + -2w = (24 + -8w) Solving -30 + -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. -30 + -2w + 8w = 24 + -8w + 8w Combine like terms: -2w + 8w = 6w -30 + 6w = 24 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 6w = 24 + 0 -30 + 6w = 24 Add '30' to each side of the equation. -30 + 30 + 6w = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 6w = 24 + 30 6w = 24 + 30 Combine like terms: 24 + 30 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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