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Simplifying 3p + -4 = 4(2p + -9) Reorder the terms: -4 + 3p = 4(2p + -9) Reorder the terms: -4 + 3p = 4(-9 + 2p) -4 + 3p = (-9 * 4 + 2p * 4) -4 + 3p = (-36 + 8p) Solving -4 + 3p = -36 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -4 + 3p + -8p = -36 + 8p + -8p Combine like terms: 3p + -8p = -5p -4 + -5p = -36 + 8p + -8p Combine like terms: 8p + -8p = 0 -4 + -5p = -36 + 0 -4 + -5p = -36 Add '4' to each side of the equation. -4 + 4 + -5p = -36 + 4 Combine like terms: -4 + 4 = 0 0 + -5p = -36 + 4 -5p = -36 + 4 Combine like terms: -36 + 4 = -32 -5p = -32 Divide each side by '-5'. p = 6.4 Simplifying p = 6.4
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