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Simplifying -2w + 7(4w + -6) = 0 Reorder the terms: -2w + 7(-6 + 4w) = 0 -2w + (-6 * 7 + 4w * 7) = 0 -2w + (-42 + 28w) = 0 Reorder the terms: -42 + -2w + 28w = 0 Combine like terms: -2w + 28w = 26w -42 + 26w = 0 Solving -42 + 26w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 26w = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 26w = 0 + 42 26w = 0 + 42 Combine like terms: 0 + 42 = 42 26w = 42 Divide each side by '26'. w = 1.615384615 Simplifying w = 1.615384615
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