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Simplifying 2(3W + -4) + 3(5 + 2w) = 0 Reorder the terms: 2(-4 + 3W) + 3(5 + 2w) = 0 (-4 * 2 + 3W * 2) + 3(5 + 2w) = 0 (-8 + 6W) + 3(5 + 2w) = 0 -8 + 6W + (5 * 3 + 2w * 3) = 0 -8 + 6W + (15 + 6w) = 0 Reorder the terms: -8 + 15 + 6W + 6w = 0 Combine like terms: -8 + 15 = 7 7 + 6W + 6w = 0 Solving 7 + 6W + 6w = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6W + -7 + 6w = 0 + -7 Reorder the terms: 7 + -7 + 6W + 6w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6W + 6w = 0 + -7 6W + 6w = 0 + -7 Combine like terms: 0 + -7 = -7 6W + 6w = -7 Add '-6w' to each side of the equation. 6W + 6w + -6w = -7 + -6w Combine like terms: 6w + -6w = 0 6W + 0 = -7 + -6w 6W = -7 + -6w Divide each side by '6'. W = -1.166666667 + -1w Simplifying W = -1.166666667 + -1w
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