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Simplifying 870 = 10(w + 40) Reorder the terms: 870 = 10(40 + w) 870 = (40 * 10 + w * 10) 870 = (400 + 10w) Solving 870 = 400 + 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. 870 + -10w = 400 + 10w + -10w Combine like terms: 10w + -10w = 0 870 + -10w = 400 + 0 870 + -10w = 400 Add '-870' to each side of the equation. 870 + -870 + -10w = 400 + -870 Combine like terms: 870 + -870 = 0 0 + -10w = 400 + -870 -10w = 400 + -870 Combine like terms: 400 + -870 = -470 -10w = -470 Divide each side by '-10'. w = 47 Simplifying w = 47
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