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Simplifying (3w + -2) = 8(2w + 3) Reorder the terms: (-2 + 3w) = 8(2w + 3) Remove parenthesis around (-2 + 3w) -2 + 3w = 8(2w + 3) Reorder the terms: -2 + 3w = 8(3 + 2w) -2 + 3w = (3 * 8 + 2w * 8) -2 + 3w = (24 + 16w) Solving -2 + 3w = 24 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -2 + 3w + -16w = 24 + 16w + -16w Combine like terms: 3w + -16w = -13w -2 + -13w = 24 + 16w + -16w Combine like terms: 16w + -16w = 0 -2 + -13w = 24 + 0 -2 + -13w = 24 Add '2' to each side of the equation. -2 + 2 + -13w = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -13w = 24 + 2 -13w = 24 + 2 Combine like terms: 24 + 2 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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