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Simplifying 1 = 3(w + -5) + -5 Reorder the terms: 1 = 3(-5 + w) + -5 1 = (-5 * 3 + w * 3) + -5 1 = (-15 + 3w) + -5 Reorder the terms: 1 = -15 + -5 + 3w Combine like terms: -15 + -5 = -20 1 = -20 + 3w Solving 1 = -20 + 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. 1 + -3w = -20 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -3w = -20 + 0 1 + -3w = -20 Add '-1' to each side of the equation. 1 + -1 + -3w = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = -20 + -1 -3w = -20 + -1 Combine like terms: -20 + -1 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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