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Simplifying (16w + -24) + (21w + 21) = 9(12) Reorder the terms: (-24 + 16w) + (21w + 21) = 9(12) Remove parenthesis around (-24 + 16w) -24 + 16w + (21w + 21) = 9(12) Reorder the terms: -24 + 16w + (21 + 21w) = 9(12) Remove parenthesis around (21 + 21w) -24 + 16w + 21 + 21w = 9(12) Reorder the terms: -24 + 21 + 16w + 21w = 9(12) Combine like terms: -24 + 21 = -3 -3 + 16w + 21w = 9(12) Combine like terms: 16w + 21w = 37w -3 + 37w = 9(12) Multiply 9 * 12 -3 + 37w = 108 Solving -3 + 37w = 108 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 37w = 108 + 3 Combine like terms: -3 + 3 = 0 0 + 37w = 108 + 3 37w = 108 + 3 Combine like terms: 108 + 3 = 111 37w = 111 Divide each side by '37'. w = 3 Simplifying w = 3
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