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Simplifying 7p + 9 = 4[p + -3] Reorder the terms: 9 + 7p = 4[p + -3] Reorder the terms: 9 + 7p = 4[-3 + p] 9 + 7p = [-3 * 4 + p * 4] 9 + 7p = [-12 + 4p] Solving 9 + 7p = -12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 9 + 7p + -4p = -12 + 4p + -4p Combine like terms: 7p + -4p = 3p 9 + 3p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 9 + 3p = -12 + 0 9 + 3p = -12 Add '-9' to each side of the equation. 9 + -9 + 3p = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = -12 + -9 3p = -12 + -9 Combine like terms: -12 + -9 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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