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Simplifying 7(w + -5) = 3w + -47 Reorder the terms: 7(-5 + w) = 3w + -47 (-5 * 7 + w * 7) = 3w + -47 (-35 + 7w) = 3w + -47 Reorder the terms: -35 + 7w = -47 + 3w Solving -35 + 7w = -47 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -35 + 7w + -3w = -47 + 3w + -3w Combine like terms: 7w + -3w = 4w -35 + 4w = -47 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + 4w = -47 + 0 -35 + 4w = -47 Add '35' to each side of the equation. -35 + 35 + 4w = -47 + 35 Combine like terms: -35 + 35 = 0 0 + 4w = -47 + 35 4w = -47 + 35 Combine like terms: -47 + 35 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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