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Simplifying -3w + 45 = 3w + 3 Reorder the terms: 45 + -3w = 3w + 3 Reorder the terms: 45 + -3w = 3 + 3w Solving 45 + -3w = 3 + 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. 45 + -3w + -3w = 3 + 3w + -3w Combine like terms: -3w + -3w = -6w 45 + -6w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 45 + -6w = 3 + 0 45 + -6w = 3 Add '-45' to each side of the equation. 45 + -45 + -6w = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -6w = 3 + -45 -6w = 3 + -45 Combine like terms: 3 + -45 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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