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Simplifying -7 = 5(w + -3) + -3w Reorder the terms: -7 = 5(-3 + w) + -3w -7 = (-3 * 5 + w * 5) + -3w -7 = (-15 + 5w) + -3w Combine like terms: 5w + -3w = 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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