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Simplifying 7 + 3(4w + -5) = -4(2w + -2) + 2w Reorder the terms: 7 + 3(-5 + 4w) = -4(2w + -2) + 2w 7 + (-5 * 3 + 4w * 3) = -4(2w + -2) + 2w 7 + (-15 + 12w) = -4(2w + -2) + 2w Combine like terms: 7 + -15 = -8 -8 + 12w = -4(2w + -2) + 2w Reorder the terms: -8 + 12w = -4(-2 + 2w) + 2w -8 + 12w = (-2 * -4 + 2w * -4) + 2w -8 + 12w = (8 + -8w) + 2w Combine like terms: -8w + 2w = -6w -8 + 12w = 8 + -6w Solving -8 + 12w = 8 + -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. -8 + 12w + 6w = 8 + -6w + 6w Combine like terms: 12w + 6w = 18w -8 + 18w = 8 + -6w + 6w Combine like terms: -6w + 6w = 0 -8 + 18w = 8 + 0 -8 + 18w = 8 Add '8' to each side of the equation. -8 + 8 + 18w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 18w = 8 + 8 18w = 8 + 8 Combine like terms: 8 + 8 = 16 18w = 16 Divide each side by '18'. w = 0.8888888889 Simplifying w = 0.8888888889
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