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Simplifying 2w + -8 = 3(w + -2) + 2 Reorder the terms: -8 + 2w = 3(w + -2) + 2 Reorder the terms: -8 + 2w = 3(-2 + w) + 2 -8 + 2w = (-2 * 3 + w * 3) + 2 -8 + 2w = (-6 + 3w) + 2 Reorder the terms: -8 + 2w = -6 + 2 + 3w Combine like terms: -6 + 2 = -4 -8 + 2w = -4 + 3w Solving -8 + 2w = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + 2w + -3w = -4 + 3w + -3w Combine like terms: 2w + -3w = -1w -8 + -1w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + -1w = -4 + 0 -8 + -1w = -4 Add '8' to each side of the equation. -8 + 8 + -1w = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = -4 + 8 -1w = -4 + 8 Combine like terms: -4 + 8 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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