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Simplifying -8(4w + -8) + -7(-8w + 5) = 0 Reorder the terms: -8(-8 + 4w) + -7(-8w + 5) = 0 (-8 * -8 + 4w * -8) + -7(-8w + 5) = 0 (64 + -32w) + -7(-8w + 5) = 0 Reorder the terms: 64 + -32w + -7(5 + -8w) = 0 64 + -32w + (5 * -7 + -8w * -7) = 0 64 + -32w + (-35 + 56w) = 0 Reorder the terms: 64 + -35 + -32w + 56w = 0 Combine like terms: 64 + -35 = 29 29 + -32w + 56w = 0 Combine like terms: -32w + 56w = 24w 29 + 24w = 0 Solving 29 + 24w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 24w = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 24w = 0 + -29 24w = 0 + -29 Combine like terms: 0 + -29 = -29 24w = -29 Divide each side by '24'. w = -1.208333333 Simplifying w = -1.208333333
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