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Simplifying 47 + -1w = -2(3w + -1) Reorder the terms: 47 + -1w = -2(-1 + 3w) 47 + -1w = (-1 * -2 + 3w * -2) 47 + -1w = (2 + -6w) Solving 47 + -1w = 2 + -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. 47 + -1w + 6w = 2 + -6w + 6w Combine like terms: -1w + 6w = 5w 47 + 5w = 2 + -6w + 6w Combine like terms: -6w + 6w = 0 47 + 5w = 2 + 0 47 + 5w = 2 Add '-47' to each side of the equation. 47 + -47 + 5w = 2 + -47 Combine like terms: 47 + -47 = 0 0 + 5w = 2 + -47 5w = 2 + -47 Combine like terms: 2 + -47 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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