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Simplifying 4(p + 3) + 9 = 3(p + -2) + 6 Reorder the terms: 4(3 + p) + 9 = 3(p + -2) + 6 (3 * 4 + p * 4) + 9 = 3(p + -2) + 6 (12 + 4p) + 9 = 3(p + -2) + 6 Reorder the terms: 12 + 9 + 4p = 3(p + -2) + 6 Combine like terms: 12 + 9 = 21 21 + 4p = 3(p + -2) + 6 Reorder the terms: 21 + 4p = 3(-2 + p) + 6 21 + 4p = (-2 * 3 + p * 3) + 6 21 + 4p = (-6 + 3p) + 6 Reorder the terms: 21 + 4p = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 21 + 4p = 0 + 3p 21 + 4p = 3p Solving 21 + 4p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 21 + 4p + -3p = 3p + -3p Combine like terms: 4p + -3p = 1p 21 + 1p = 3p + -3p Combine like terms: 3p + -3p = 0 21 + 1p = 0 Add '-21' to each side of the equation. 21 + -21 + 1p = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1p = 0 + -21 1p = 0 + -21 Combine like terms: 0 + -21 = -21 1p = -21 Divide each side by '1'. p = -21 Simplifying p = -21
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