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Simplifying 3w + -2(0.5 + 1) = -4(2 + w) Combine like terms: 0.5 + 1 = 1.5 3w + -2(1.5) = -4(2 + w) Multiply -2 * 1.5 3w + -3 = -4(2 + w) Reorder the terms: -3 + 3w = -4(2 + w) -3 + 3w = (2 * -4 + w * -4) -3 + 3w = (-8 + -4w) Solving -3 + 3w = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3 + 3w + 4w = -8 + -4w + 4w Combine like terms: 3w + 4w = 7w -3 + 7w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 7w = -8 + 0 -3 + 7w = -8 Add '3' to each side of the equation. -3 + 3 + 7w = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 7w = -8 + 3 7w = -8 + 3 Combine like terms: -8 + 3 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143
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