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Simplifying 6(4w + -7) + -5(2 + 5) = 3 Reorder the terms: 6(-7 + 4w) + -5(2 + 5) = 3 (-7 * 6 + 4w * 6) + -5(2 + 5) = 3 (-42 + 24w) + -5(2 + 5) = 3 Combine like terms: 2 + 5 = 7 -42 + 24w + -5(7) = 3 Multiply -5 * 7 -42 + 24w + -35 = 3 Reorder the terms: -42 + -35 + 24w = 3 Combine like terms: -42 + -35 = -77 -77 + 24w = 3 Solving -77 + 24w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 24w = 3 + 77 Combine like terms: -77 + 77 = 0 0 + 24w = 3 + 77 24w = 3 + 77 Combine like terms: 3 + 77 = 80 24w = 80 Divide each side by '24'. w = 3.333333333 Simplifying w = 3.333333333
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