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Simplifying 7w + -4(3w + 1) + -2w = 0 Reorder the terms: 7w + -4(1 + 3w) + -2w = 0 7w + (1 * -4 + 3w * -4) + -2w = 0 7w + (-4 + -12w) + -2w = 0 Reorder the terms: -4 + 7w + -12w + -2w = 0 Combine like terms: 7w + -12w = -5w -4 + -5w + -2w = 0 Combine like terms: -5w + -2w = -7w -4 + -7w = 0 Solving -4 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7w = 0 + 4 -7w = 0 + 4 Combine like terms: 0 + 4 = 4 -7w = 4 Divide each side by '-7'. w = -0.5714285714 Simplifying w = -0.5714285714
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