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Simplifying 5p + 9 = 3(p + -4) Reorder the terms: 9 + 5p = 3(p + -4) Reorder the terms: 9 + 5p = 3(-4 + p) 9 + 5p = (-4 * 3 + p * 3) 9 + 5p = (-12 + 3p) Solving 9 + 5p = -12 + 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. 9 + 5p + -3p = -12 + 3p + -3p Combine like terms: 5p + -3p = 2p 9 + 2p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + 2p = -12 + 0 9 + 2p = -12 Add '-9' to each side of the equation. 9 + -9 + 2p = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 2p = -12 + -9 2p = -12 + -9 Combine like terms: -12 + -9 = -21 2p = -21 Divide each side by '2'. p = -10.5 Simplifying p = -10.5
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