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Simplifying w + -1(3w + 1) = 9(6w + 2) Reorder the terms: w + -1(1 + 3w) = 9(6w + 2) w + (1 * -1 + 3w * -1) = 9(6w + 2) w + (-1 + -3w) = 9(6w + 2) Reorder the terms: -1 + w + -3w = 9(6w + 2) Combine like terms: w + -3w = -2w -1 + -2w = 9(6w + 2) Reorder the terms: -1 + -2w = 9(2 + 6w) -1 + -2w = (2 * 9 + 6w * 9) -1 + -2w = (18 + 54w) Solving -1 + -2w = 18 + 54w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-54w' to each side of the equation. -1 + -2w + -54w = 18 + 54w + -54w Combine like terms: -2w + -54w = -56w -1 + -56w = 18 + 54w + -54w Combine like terms: 54w + -54w = 0 -1 + -56w = 18 + 0 -1 + -56w = 18 Add '1' to each side of the equation. -1 + 1 + -56w = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -56w = 18 + 1 -56w = 18 + 1 Combine like terms: 18 + 1 = 19 -56w = 19 Divide each side by '-56'. w = -0.3392857143 Simplifying w = -0.3392857143
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