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Simplifying 3w + -16w = 7 + 2(-8w + -3) Combine like terms: 3w + -16w = -13w -13w = 7 + 2(-8w + -3) Reorder the terms: -13w = 7 + 2(-3 + -8w) -13w = 7 + (-3 * 2 + -8w * 2) -13w = 7 + (-6 + -16w) Combine like terms: 7 + -6 = 1 -13w = 1 + -16w Solving -13w = 1 + -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. -13w + 16w = 1 + -16w + 16w Combine like terms: -13w + 16w = 3w 3w = 1 + -16w + 16w Combine like terms: -16w + 16w = 0 3w = 1 + 0 3w = 1 Divide each side by '3'. w = 0.3333333333 Simplifying w = 0.3333333333
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