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Simplifying 870 = 4w + -150 + 2w Reorder the terms: 870 = -150 + 4w + 2w Combine like terms: 4w + 2w = 6w 870 = -150 + 6w Solving 870 = -150 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 870 + -6w = -150 + 6w + -6w Combine like terms: 6w + -6w = 0 870 + -6w = -150 + 0 870 + -6w = -150 Add '-870' to each side of the equation. 870 + -870 + -6w = -150 + -870 Combine like terms: 870 + -870 = 0 0 + -6w = -150 + -870 -6w = -150 + -870 Combine like terms: -150 + -870 = -1020 -6w = -1020 Divide each side by '-6'. w = 170 Simplifying w = 170
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