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Simplifying 38 = 3w + 7(w + -6) Reorder the terms: 38 = 3w + 7(-6 + w) 38 = 3w + (-6 * 7 + w * 7) 38 = 3w + (-42 + 7w) Reorder the terms: 38 = -42 + 3w + 7w Combine like terms: 3w + 7w = 10w 38 = -42 + 10w Solving 38 = -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. 38 + -10w = -42 + 10w + -10w Combine like terms: 10w + -10w = 0 38 + -10w = -42 + 0 38 + -10w = -42 Add '-38' to each side of the equation. 38 + -38 + -10w = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -10w = -42 + -38 -10w = -42 + -38 Combine like terms: -42 + -38 = -80 -10w = -80 Divide each side by '-10'. w = 8 Simplifying w = 8
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