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Simplifying 3(w + -14) + 7(w + -12) = 14 Reorder the terms: 3(-14 + w) + 7(w + -12) = 14 (-14 * 3 + w * 3) + 7(w + -12) = 14 (-42 + 3w) + 7(w + -12) = 14 Reorder the terms: -42 + 3w + 7(-12 + w) = 14 -42 + 3w + (-12 * 7 + w * 7) = 14 -42 + 3w + (-84 + 7w) = 14 Reorder the terms: -42 + -84 + 3w + 7w = 14 Combine like terms: -42 + -84 = -126 -126 + 3w + 7w = 14 Combine like terms: 3w + 7w = 10w -126 + 10w = 14 Solving -126 + 10w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 10w = 14 + 126 Combine like terms: -126 + 126 = 0 0 + 10w = 14 + 126 10w = 14 + 126 Combine like terms: 14 + 126 = 140 10w = 140 Divide each side by '10'. w = 14 Simplifying w = 14
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