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Simplifying -3 = 3w + 3(w + -5) Reorder the terms: -3 = 3w + 3(-5 + w) -3 = 3w + (-5 * 3 + w * 3) -3 = 3w + (-15 + 3w) Reorder the terms: -3 = -15 + 3w + 3w Combine like terms: 3w + 3w = 6w -3 = -15 + 6w Solving -3 = -15 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -3 + -6w = -15 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -6w = -15 + 0 -3 + -6w = -15 Add '3' to each side of the equation. -3 + 3 + -6w = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -6w = -15 + 3 -6w = -15 + 3 Combine like terms: -15 + 3 = -12 -6w = -12 Divide each side by '-6'. w = 2 Simplifying w = 2
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