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Simplifying 5(2w + -3) + -4(3w + 7) = 17 Reorder the terms: 5(-3 + 2w) + -4(3w + 7) = 17 (-3 * 5 + 2w * 5) + -4(3w + 7) = 17 (-15 + 10w) + -4(3w + 7) = 17 Reorder the terms: -15 + 10w + -4(7 + 3w) = 17 -15 + 10w + (7 * -4 + 3w * -4) = 17 -15 + 10w + (-28 + -12w) = 17 Reorder the terms: -15 + -28 + 10w + -12w = 17 Combine like terms: -15 + -28 = -43 -43 + 10w + -12w = 17 Combine like terms: 10w + -12w = -2w -43 + -2w = 17 Solving -43 + -2w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -2w = 17 + 43 Combine like terms: -43 + 43 = 0 0 + -2w = 17 + 43 -2w = 17 + 43 Combine like terms: 17 + 43 = 60 -2w = 60 Divide each side by '-2'. w = -30 Simplifying w = -30
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