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Simplifying -2 = 7(w + -6) + 3w Reorder the terms: -2 = 7(-6 + w) + 3w -2 = (-6 * 7 + w * 7) + 3w -2 = (-42 + 7w) + 3w Combine like terms: 7w + 3w = 10w -2 = -42 + 10w Solving -2 = -42 + 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 + -10w = -42 + 10w + -10w Combine like terms: 10w + -10w = 0 -2 + -10w = -42 + 0 -2 + -10w = -42 Add '2' to each side of the equation. -2 + 2 + -10w = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -10w = -42 + 2 -10w = -42 + 2 Combine like terms: -42 + 2 = -40 -10w = -40 Divide each side by '-10'. w = 4 Simplifying w = 4
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