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Simplifying 7w + -4(2w + 8) = w + -1(7w + 5) + -4 Reorder the terms: 7w + -4(8 + 2w) = w + -1(7w + 5) + -4 7w + (8 * -4 + 2w * -4) = w + -1(7w + 5) + -4 7w + (-32 + -8w) = w + -1(7w + 5) + -4 Reorder the terms: -32 + 7w + -8w = w + -1(7w + 5) + -4 Combine like terms: 7w + -8w = -1w -32 + -1w = w + -1(7w + 5) + -4 Reorder the terms: -32 + -1w = w + -1(5 + 7w) + -4 -32 + -1w = w + (5 * -1 + 7w * -1) + -4 -32 + -1w = w + (-5 + -7w) + -4 Reorder the terms: -32 + -1w = -5 + -4 + w + -7w Combine like terms: -5 + -4 = -9 -32 + -1w = -9 + w + -7w Combine like terms: w + -7w = -6w -32 + -1w = -9 + -6w Solving -32 + -1w = -9 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -32 + -1w + 6w = -9 + -6w + 6w Combine like terms: -1w + 6w = 5w -32 + 5w = -9 + -6w + 6w Combine like terms: -6w + 6w = 0 -32 + 5w = -9 + 0 -32 + 5w = -9 Add '32' to each side of the equation. -32 + 32 + 5w = -9 + 32 Combine like terms: -32 + 32 = 0 0 + 5w = -9 + 32 5w = -9 + 32 Combine like terms: -9 + 32 = 23 5w = 23 Divide each side by '5'. w = 4.6 Simplifying w = 4.6
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