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Simplifying (12 + -4p + 20) * 5 = (3p) * 10 Reorder the terms: (12 + 20 + -4p) * 5 = (3p) * 10 Combine like terms: 12 + 20 = 32 (32 + -4p) * 5 = (3p) * 10 Reorder the terms for easier multiplication: 5(32 + -4p) = (3p) * 10 (32 * 5 + -4p * 5) = (3p) * 10 (160 + -20p) = (3p) * 10 Remove parenthesis around (3p) 160 + -20p = 3p * 10 Reorder the terms for easier multiplication: 160 + -20p = 3 * 10p Multiply 3 * 10 160 + -20p = 30p Solving 160 + -20p = 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 160 + -20p + -30p = 30p + -30p Combine like terms: -20p + -30p = -50p 160 + -50p = 30p + -30p Combine like terms: 30p + -30p = 0 160 + -50p = 0 Add '-160' to each side of the equation. 160 + -160 + -50p = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -50p = 0 + -160 -50p = 0 + -160 Combine like terms: 0 + -160 = -160 -50p = -160 Divide each side by '-50'. p = 3.2 Simplifying p = 3.2
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