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Simplifying -7 = 3(w + -5) + -7w Reorder the terms: -7 = 3(-5 + w) + -7w -7 = (-5 * 3 + w * 3) + -7w -7 = (-15 + 3w) + -7w Combine like terms: 3w + -7w = -4w -7 = -15 + -4w Solving -7 = -15 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -7 + 4w = -15 + -4w + 4w Combine like terms: -4w + 4w = 0 -7 + 4w = -15 + 0 -7 + 4w = -15 Add '7' to each side of the equation. -7 + 7 + 4w = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 4w = -15 + 7 4w = -15 + 7 Combine like terms: -15 + 7 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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