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Simplifying -3 = -5w + 7(w + -3) Reorder the terms: -3 = -5w + 7(-3 + w) -3 = -5w + (-3 * 7 + w * 7) -3 = -5w + (-21 + 7w) Reorder the terms: -3 = -21 + -5w + 7w Combine like terms: -5w + 7w = 2w -3 = -21 + 2w Solving -3 = -21 + 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. -3 + -2w = -21 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + -2w = -21 + 0 -3 + -2w = -21 Add '3' to each side of the equation. -3 + 3 + -2w = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = -21 + 3 -2w = -21 + 3 Combine like terms: -21 + 3 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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