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Simplifying 2(3w + 7) + -4(5 + -2W) = 6 Reorder the terms: 2(7 + 3w) + -4(5 + -2W) = 6 (7 * 2 + 3w * 2) + -4(5 + -2W) = 6 (14 + 6w) + -4(5 + -2W) = 6 14 + 6w + (5 * -4 + -2W * -4) = 6 14 + 6w + (-20 + 8W) = 6 Reorder the terms: 14 + -20 + 8W + 6w = 6 Combine like terms: 14 + -20 = -6 -6 + 8W + 6w = 6 Solving -6 + 8W + 6w = 6 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 8W + 6 + 6w = 6 + 6 Reorder the terms: -6 + 6 + 8W + 6w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 8W + 6w = 6 + 6 8W + 6w = 6 + 6 Combine like terms: 6 + 6 = 12 8W + 6w = 12 Add '-6w' to each side of the equation. 8W + 6w + -6w = 12 + -6w Combine like terms: 6w + -6w = 0 8W + 0 = 12 + -6w 8W = 12 + -6w Divide each side by '8'. W = 1.5 + -0.75w Simplifying W = 1.5 + -0.75w
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