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Simplifying -2(w + -3) + 7 = 2(w + -5) Reorder the terms: -2(-3 + w) + 7 = 2(w + -5) (-3 * -2 + w * -2) + 7 = 2(w + -5) (6 + -2w) + 7 = 2(w + -5) Reorder the terms: 6 + 7 + -2w = 2(w + -5) Combine like terms: 6 + 7 = 13 13 + -2w = 2(w + -5) Reorder the terms: 13 + -2w = 2(-5 + w) 13 + -2w = (-5 * 2 + w * 2) 13 + -2w = (-10 + 2w) Solving 13 + -2w = -10 + 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. 13 + -2w + -2w = -10 + 2w + -2w Combine like terms: -2w + -2w = -4w 13 + -4w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + -4w = -10 + 0 13 + -4w = -10 Add '-13' to each side of the equation. 13 + -13 + -4w = -10 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = -10 + -13 -4w = -10 + -13 Combine like terms: -10 + -13 = -23 -4w = -23 Divide each side by '-4'. w = 5.75 Simplifying w = 5.75
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