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Simplifying 3(p + -2) * 1 + -7 = 32 + -4(2p + 5) Reorder the terms: 3(-2 + p) * 1 + -7 = 32 + -4(2p + 5) Reorder the terms for easier multiplication: 3 * 1(-2 + p) + -7 = 32 + -4(2p + 5) Multiply 3 * 1 3(-2 + p) + -7 = 32 + -4(2p + 5) (-2 * 3 + p * 3) + -7 = 32 + -4(2p + 5) (-6 + 3p) + -7 = 32 + -4(2p + 5) Reorder the terms: -6 + -7 + 3p = 32 + -4(2p + 5) Combine like terms: -6 + -7 = -13 -13 + 3p = 32 + -4(2p + 5) Reorder the terms: -13 + 3p = 32 + -4(5 + 2p) -13 + 3p = 32 + (5 * -4 + 2p * -4) -13 + 3p = 32 + (-20 + -8p) Combine like terms: 32 + -20 = 12 -13 + 3p = 12 + -8p Solving -13 + 3p = 12 + -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. -13 + 3p + 8p = 12 + -8p + 8p Combine like terms: 3p + 8p = 11p -13 + 11p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 -13 + 11p = 12 + 0 -13 + 11p = 12 Add '13' to each side of the equation. -13 + 13 + 11p = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 11p = 12 + 13 11p = 12 + 13 Combine like terms: 12 + 13 = 25 11p = 25 Divide each side by '11'. p = 2.272727273 Simplifying p = 2.272727273
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