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