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Simplifying (7) * 9w + -1 = 3w + 4 + 1(4) Multiply 7 * 9 63w + -1 = 3w + 4 + 1(4) Reorder the terms: -1 + 63w = 3w + 4 + 1(4) Multiply 1 * 4 -1 + 63w = 3w + 4 + 4 Reorder the terms: -1 + 63w = 4 + 4 + 3w Combine like terms: 4 + 4 = 8 -1 + 63w = 8 + 3w Solving -1 + 63w = 8 + 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. -1 + 63w + -3w = 8 + 3w + -3w Combine like terms: 63w + -3w = 60w -1 + 60w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 + 60w = 8 + 0 -1 + 60w = 8 Add '1' to each side of the equation. -1 + 1 + 60w = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 60w = 8 + 1 60w = 8 + 1 Combine like terms: 8 + 1 = 9 60w = 9 Divide each side by '60'. w = 0.15 Simplifying w = 0.15
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