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Simplifying 9 + 2(3w + -8) = -3(2w + -1) + 8w Reorder the terms: 9 + 2(-8 + 3w) = -3(2w + -1) + 8w 9 + (-8 * 2 + 3w * 2) = -3(2w + -1) + 8w 9 + (-16 + 6w) = -3(2w + -1) + 8w Combine like terms: 9 + -16 = -7 -7 + 6w = -3(2w + -1) + 8w Reorder the terms: -7 + 6w = -3(-1 + 2w) + 8w -7 + 6w = (-1 * -3 + 2w * -3) + 8w -7 + 6w = (3 + -6w) + 8w Combine like terms: -6w + 8w = 2w -7 + 6w = 3 + 2w Solving -7 + 6w = 3 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -7 + 6w + -2w = 3 + 2w + -2w Combine like terms: 6w + -2w = 4w -7 + 4w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 4w = 3 + 0 -7 + 4w = 3 Add '7' to each side of the equation. -7 + 7 + 4w = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 4w = 3 + 7 4w = 3 + 7 Combine like terms: 3 + 7 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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