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Simplifying 4(-7w + 2) + -8(5w + -3) = 0 Reorder the terms: 4(2 + -7w) + -8(5w + -3) = 0 (2 * 4 + -7w * 4) + -8(5w + -3) = 0 (8 + -28w) + -8(5w + -3) = 0 Reorder the terms: 8 + -28w + -8(-3 + 5w) = 0 8 + -28w + (-3 * -8 + 5w * -8) = 0 8 + -28w + (24 + -40w) = 0 Reorder the terms: 8 + 24 + -28w + -40w = 0 Combine like terms: 8 + 24 = 32 32 + -28w + -40w = 0 Combine like terms: -28w + -40w = -68w 32 + -68w = 0 Solving 32 + -68w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -68w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -68w = 0 + -32 -68w = 0 + -32 Combine like terms: 0 + -32 = -32 -68w = -32 Divide each side by '-68'. w = 0.4705882353 Simplifying w = 0.4705882353
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