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Simplifying 6 + -1(3w + -4) + 7w + -11 = 0 Reorder the terms: 6 + -1(-4 + 3w) + 7w + -11 = 0 6 + (-4 * -1 + 3w * -1) + 7w + -11 = 0 6 + (4 + -3w) + 7w + -11 = 0 Reorder the terms: 6 + 4 + -11 + -3w + 7w = 0 Combine like terms: 6 + 4 = 10 10 + -11 + -3w + 7w = 0 Combine like terms: 10 + -11 = -1 -1 + -3w + 7w = 0 Combine like terms: -3w + 7w = 4w -1 + 4w = 0 Solving -1 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4w = 0 + 1 4w = 0 + 1 Combine like terms: 0 + 1 = 1 4w = 1 Divide each side by '4'. w = 0.25 Simplifying w = 0.25
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