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Simplifying 2(w + -4) + -3 = -3(7w + 5) + -1w Reorder the terms: 2(-4 + w) + -3 = -3(7w + 5) + -1w (-4 * 2 + w * 2) + -3 = -3(7w + 5) + -1w (-8 + 2w) + -3 = -3(7w + 5) + -1w Reorder the terms: -8 + -3 + 2w = -3(7w + 5) + -1w Combine like terms: -8 + -3 = -11 -11 + 2w = -3(7w + 5) + -1w Reorder the terms: -11 + 2w = -3(5 + 7w) + -1w -11 + 2w = (5 * -3 + 7w * -3) + -1w -11 + 2w = (-15 + -21w) + -1w Combine like terms: -21w + -1w = -22w -11 + 2w = -15 + -22w Solving -11 + 2w = -15 + -22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22w' to each side of the equation. -11 + 2w + 22w = -15 + -22w + 22w Combine like terms: 2w + 22w = 24w -11 + 24w = -15 + -22w + 22w Combine like terms: -22w + 22w = 0 -11 + 24w = -15 + 0 -11 + 24w = -15 Add '11' to each side of the equation. -11 + 11 + 24w = -15 + 11 Combine like terms: -11 + 11 = 0 0 + 24w = -15 + 11 24w = -15 + 11 Combine like terms: -15 + 11 = -4 24w = -4 Divide each side by '24'. w = -0.1666666667 Simplifying w = -0.1666666667
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