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Simplifying 6(w + -5) + -4 = -4(-8w + 8) + -8w Reorder the terms: 6(-5 + w) + -4 = -4(-8w + 8) + -8w (-5 * 6 + w * 6) + -4 = -4(-8w + 8) + -8w (-30 + 6w) + -4 = -4(-8w + 8) + -8w Reorder the terms: -30 + -4 + 6w = -4(-8w + 8) + -8w Combine like terms: -30 + -4 = -34 -34 + 6w = -4(-8w + 8) + -8w Reorder the terms: -34 + 6w = -4(8 + -8w) + -8w -34 + 6w = (8 * -4 + -8w * -4) + -8w -34 + 6w = (-32 + 32w) + -8w Combine like terms: 32w + -8w = 24w -34 + 6w = -32 + 24w Solving -34 + 6w = -32 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. -34 + 6w + -24w = -32 + 24w + -24w Combine like terms: 6w + -24w = -18w -34 + -18w = -32 + 24w + -24w Combine like terms: 24w + -24w = 0 -34 + -18w = -32 + 0 -34 + -18w = -32 Add '34' to each side of the equation. -34 + 34 + -18w = -32 + 34 Combine like terms: -34 + 34 = 0 0 + -18w = -32 + 34 -18w = -32 + 34 Combine like terms: -32 + 34 = 2 -18w = 2 Divide each side by '-18'. w = -0.1111111111 Simplifying w = -0.1111111111
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