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Simplifying -5w + 3(w + -7) = -23 Reorder the terms: -5w + 3(-7 + w) = -23 -5w + (-7 * 3 + w * 3) = -23 -5w + (-21 + 3w) = -23 Reorder the terms: -21 + -5w + 3w = -23 Combine like terms: -5w + 3w = -2w -21 + -2w = -23 Solving -21 + -2w = -23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2w = -23 + 21 Combine like terms: -21 + 21 = 0 0 + -2w = -23 + 21 -2w = -23 + 21 Combine like terms: -23 + 21 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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