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Simplifying 2(8 + -1w) = 7(3w + -1) (8 * 2 + -1w * 2) = 7(3w + -1) (16 + -2w) = 7(3w + -1) Reorder the terms: 16 + -2w = 7(-1 + 3w) 16 + -2w = (-1 * 7 + 3w * 7) 16 + -2w = (-7 + 21w) Solving 16 + -2w = -7 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 16 + -2w + -21w = -7 + 21w + -21w Combine like terms: -2w + -21w = -23w 16 + -23w = -7 + 21w + -21w Combine like terms: 21w + -21w = 0 16 + -23w = -7 + 0 16 + -23w = -7 Add '-16' to each side of the equation. 16 + -16 + -23w = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -23w = -7 + -16 -23w = -7 + -16 Combine like terms: -7 + -16 = -23 -23w = -23 Divide each side by '-23'. w = 1 Simplifying w = 1
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