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Simplifying 5(2w + -7) = 6w + 13 Reorder the terms: 5(-7 + 2w) = 6w + 13 (-7 * 5 + 2w * 5) = 6w + 13 (-35 + 10w) = 6w + 13 Reorder the terms: -35 + 10w = 13 + 6w Solving -35 + 10w = 13 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -35 + 10w + -6w = 13 + 6w + -6w Combine like terms: 10w + -6w = 4w -35 + 4w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 -35 + 4w = 13 + 0 -35 + 4w = 13 Add '35' to each side of the equation. -35 + 35 + 4w = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 4w = 13 + 35 4w = 13 + 35 Combine like terms: 13 + 35 = 48 4w = 48 Divide each side by '4'. w = 12 Simplifying w = 12
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