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Simplifying 7(w + -4) + -1(8 + -6w) = 12w Reorder the terms: 7(-4 + w) + -1(8 + -6w) = 12w (-4 * 7 + w * 7) + -1(8 + -6w) = 12w (-28 + 7w) + -1(8 + -6w) = 12w -28 + 7w + (8 * -1 + -6w * -1) = 12w -28 + 7w + (-8 + 6w) = 12w Reorder the terms: -28 + -8 + 7w + 6w = 12w Combine like terms: -28 + -8 = -36 -36 + 7w + 6w = 12w Combine like terms: 7w + 6w = 13w -36 + 13w = 12w Solving -36 + 13w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -36 + 13w + -12w = 12w + -12w Combine like terms: 13w + -12w = 1w -36 + 1w = 12w + -12w Combine like terms: 12w + -12w = 0 -36 + 1w = 0 Add '36' to each side of the equation. -36 + 36 + 1w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1w = 0 + 36 1w = 0 + 36 Combine like terms: 0 + 36 = 36 1w = 36 Divide each side by '1'. w = 36 Simplifying w = 36
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