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Simplifying -4(7 + 2w) + -10 = 2(w + 6) (7 * -4 + 2w * -4) + -10 = 2(w + 6) (-28 + -8w) + -10 = 2(w + 6) Reorder the terms: -28 + -10 + -8w = 2(w + 6) Combine like terms: -28 + -10 = -38 -38 + -8w = 2(w + 6) Reorder the terms: -38 + -8w = 2(6 + w) -38 + -8w = (6 * 2 + w * 2) -38 + -8w = (12 + 2w) Solving -38 + -8w = 12 + 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. -38 + -8w + -2w = 12 + 2w + -2w Combine like terms: -8w + -2w = -10w -38 + -10w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -38 + -10w = 12 + 0 -38 + -10w = 12 Add '38' to each side of the equation. -38 + 38 + -10w = 12 + 38 Combine like terms: -38 + 38 = 0 0 + -10w = 12 + 38 -10w = 12 + 38 Combine like terms: 12 + 38 = 50 -10w = 50 Divide each side by '-10'. w = -5 Simplifying w = -5
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