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Simplifying -7(w + 1) = 3w + 23 Reorder the terms: -7(1 + w) = 3w + 23 (1 * -7 + w * -7) = 3w + 23 (-7 + -7w) = 3w + 23 Reorder the terms: -7 + -7w = 23 + 3w Solving -7 + -7w = 23 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + -7w + -3w = 23 + 3w + -3w Combine like terms: -7w + -3w = -10w -7 + -10w = 23 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + -10w = 23 + 0 -7 + -10w = 23 Add '7' to each side of the equation. -7 + 7 + -10w = 23 + 7 Combine like terms: -7 + 7 = 0 0 + -10w = 23 + 7 -10w = 23 + 7 Combine like terms: 23 + 7 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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