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Simplifying 6(4w + -7) + -5(2w + 5) = 3 Reorder the terms: 6(-7 + 4w) + -5(2w + 5) = 3 (-7 * 6 + 4w * 6) + -5(2w + 5) = 3 (-42 + 24w) + -5(2w + 5) = 3 Reorder the terms: -42 + 24w + -5(5 + 2w) = 3 -42 + 24w + (5 * -5 + 2w * -5) = 3 -42 + 24w + (-25 + -10w) = 3 Reorder the terms: -42 + -25 + 24w + -10w = 3 Combine like terms: -42 + -25 = -67 -67 + 24w + -10w = 3 Combine like terms: 24w + -10w = 14w -67 + 14w = 3 Solving -67 + 14w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 14w = 3 + 67 Combine like terms: -67 + 67 = 0 0 + 14w = 3 + 67 14w = 3 + 67 Combine like terms: 3 + 67 = 70 14w = 70 Divide each side by '14'. w = 5 Simplifying w = 5
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