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Simplifying 19 = 15w + -3(3w + -1) Reorder the terms: 19 = 15w + -3(-1 + 3w) 19 = 15w + (-1 * -3 + 3w * -3) 19 = 15w + (3 + -9w) Reorder the terms: 19 = 3 + 15w + -9w Combine like terms: 15w + -9w = 6w 19 = 3 + 6w Solving 19 = 3 + 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. 19 + -6w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 19 + -6w = 3 + 0 19 + -6w = 3 Add '-19' to each side of the equation. 19 + -19 + -6w = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -6w = 3 + -19 -6w = 3 + -19 Combine like terms: 3 + -19 = -16 -6w = -16 Divide each side by '-6'. w = 2.666666667 Simplifying w = 2.666666667
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