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Simplifying 36 + -2(2w + -1) = 8w + -2(8 + w) Reorder the terms: 36 + -2(-1 + 2w) = 8w + -2(8 + w) 36 + (-1 * -2 + 2w * -2) = 8w + -2(8 + w) 36 + (2 + -4w) = 8w + -2(8 + w) Combine like terms: 36 + 2 = 38 38 + -4w = 8w + -2(8 + w) 38 + -4w = 8w + (8 * -2 + w * -2) 38 + -4w = 8w + (-16 + -2w) Reorder the terms: 38 + -4w = -16 + 8w + -2w Combine like terms: 8w + -2w = 6w 38 + -4w = -16 + 6w Solving 38 + -4w = -16 + 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. 38 + -4w + -6w = -16 + 6w + -6w Combine like terms: -4w + -6w = -10w 38 + -10w = -16 + 6w + -6w Combine like terms: 6w + -6w = 0 38 + -10w = -16 + 0 38 + -10w = -16 Add '-38' to each side of the equation. 38 + -38 + -10w = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -10w = -16 + -38 -10w = -16 + -38 Combine like terms: -16 + -38 = -54 -10w = -54 Divide each side by '-10'. w = 5.4 Simplifying w = 5.4
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