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Simplifying 47 = w + -1(-8) Multiply -1 * -8 47 = w + 8 Reorder the terms: 47 = 8 + w Solving 47 = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 47 + -1w = 8 + w + -1w Combine like terms: w + -1w = 0 47 + -1w = 8 + 0 47 + -1w = 8 Add '-47' to each side of the equation. 47 + -47 + -1w = 8 + -47 Combine like terms: 47 + -47 = 0 0 + -1w = 8 + -47 -1w = 8 + -47 Combine like terms: 8 + -47 = -39 -1w = -39 Divide each side by '-1'. w = 39 Simplifying w = 39
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