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Simplifying 2p + -9 = -3(p + -4) Reorder the terms: -9 + 2p = -3(p + -4) Reorder the terms: -9 + 2p = -3(-4 + p) -9 + 2p = (-4 * -3 + p * -3) -9 + 2p = (12 + -3p) Solving -9 + 2p = 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 + 2p + 3p = 12 + -3p + 3p Combine like terms: 2p + 3p = 5p -9 + 5p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 -9 + 5p = 12 + 0 -9 + 5p = 12 Add '9' to each side of the equation. -9 + 9 + 5p = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = 12 + 9 5p = 12 + 9 Combine like terms: 12 + 9 = 21 5p = 21 Divide each side by '5'. p = 4.2 Simplifying p = 4.2
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