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Simplifying 8(2w + -2) = (3w + 2) Reorder the terms: 8(-2 + 2w) = (3w + 2) (-2 * 8 + 2w * 8) = (3w + 2) (-16 + 16w) = (3w + 2) Reorder the terms: -16 + 16w = (2 + 3w) Remove parenthesis around (2 + 3w) -16 + 16w = 2 + 3w Solving -16 + 16w = 2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -16 + 16w + -3w = 2 + 3w + -3w Combine like terms: 16w + -3w = 13w -16 + 13w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 -16 + 13w = 2 + 0 -16 + 13w = 2 Add '16' to each side of the equation. -16 + 16 + 13w = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 13w = 2 + 16 13w = 2 + 16 Combine like terms: 2 + 16 = 18 13w = 18 Divide each side by '13'. w = 1.384615385 Simplifying w = 1.384615385
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