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Simplifying 36 + -3(2w + 1) = 9w + -3(9 + -1w) Reorder the terms: 36 + -3(1 + 2w) = 9w + -3(9 + -1w) 36 + (1 * -3 + 2w * -3) = 9w + -3(9 + -1w) 36 + (-3 + -6w) = 9w + -3(9 + -1w) Combine like terms: 36 + -3 = 33 33 + -6w = 9w + -3(9 + -1w) 33 + -6w = 9w + (9 * -3 + -1w * -3) 33 + -6w = 9w + (-27 + 3w) Reorder the terms: 33 + -6w = -27 + 9w + 3w Combine like terms: 9w + 3w = 12w 33 + -6w = -27 + 12w Solving 33 + -6w = -27 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 33 + -6w + -12w = -27 + 12w + -12w Combine like terms: -6w + -12w = -18w 33 + -18w = -27 + 12w + -12w Combine like terms: 12w + -12w = 0 33 + -18w = -27 + 0 33 + -18w = -27 Add '-33' to each side of the equation. 33 + -33 + -18w = -27 + -33 Combine like terms: 33 + -33 = 0 0 + -18w = -27 + -33 -18w = -27 + -33 Combine like terms: -27 + -33 = -60 -18w = -60 Divide each side by '-18'. w = 3.333333333 Simplifying w = 3.333333333
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