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