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Simplifying 2(w + -1) = 4w + 2 + -2(-3w + -5) Reorder the terms: 2(-1 + w) = 4w + 2 + -2(-3w + -5) (-1 * 2 + w * 2) = 4w + 2 + -2(-3w + -5) (-2 + 2w) = 4w + 2 + -2(-3w + -5) Reorder the terms: -2 + 2w = 4w + 2 + -2(-5 + -3w) -2 + 2w = 4w + 2 + (-5 * -2 + -3w * -2) -2 + 2w = 4w + 2 + (10 + 6w) Reorder the terms: -2 + 2w = 2 + 10 + 4w + 6w Combine like terms: 2 + 10 = 12 -2 + 2w = 12 + 4w + 6w Combine like terms: 4w + 6w = 10w -2 + 2w = 12 + 10w Solving -2 + 2w = 12 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -2 + 2w + -10w = 12 + 10w + -10w Combine like terms: 2w + -10w = -8w -2 + -8w = 12 + 10w + -10w Combine like terms: 10w + -10w = 0 -2 + -8w = 12 + 0 -2 + -8w = 12 Add '2' to each side of the equation. -2 + 2 + -8w = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -8w = 12 + 2 -8w = 12 + 2 Combine like terms: 12 + 2 = 14 -8w = 14 Divide each side by '-8'. w = -1.75 Simplifying w = -1.75
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