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Simplifying 3 = 4w + -1(-7) Multiply -1 * -7 3 = 4w + 7 Reorder the terms: 3 = 7 + 4w Solving 3 = 7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + -4w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + -4w = 7 + 0 3 + -4w = 7 Add '-3' to each side of the equation. 3 + -3 + -4w = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = 7 + -3 -4w = 7 + -3 Combine like terms: 7 + -3 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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