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Simplifying 7w + -4(2w + 6) + -12 = 63 Reorder the terms: 7w + -4(6 + 2w) + -12 = 63 7w + (6 * -4 + 2w * -4) + -12 = 63 7w + (-24 + -8w) + -12 = 63 Reorder the terms: -24 + -12 + 7w + -8w = 63 Combine like terms: -24 + -12 = -36 -36 + 7w + -8w = 63 Combine like terms: 7w + -8w = -1w -36 + -1w = 63 Solving -36 + -1w = 63 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1w = 63 + 36 Combine like terms: -36 + 36 = 0 0 + -1w = 63 + 36 -1w = 63 + 36 Combine like terms: 63 + 36 = 99 -1w = 99 Divide each side by '-1'. w = -99 Simplifying w = -99
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