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Simplifying 53 + 3(P + -2) = 4(3p + 5) Reorder the terms: 53 + 3(-2 + P) = 4(3p + 5) 53 + (-2 * 3 + P * 3) = 4(3p + 5) 53 + (-6 + 3P) = 4(3p + 5) Combine like terms: 53 + -6 = 47 47 + 3P = 4(3p + 5) Reorder the terms: 47 + 3P = 4(5 + 3p) 47 + 3P = (5 * 4 + 3p * 4) 47 + 3P = (20 + 12p) Solving 47 + 3P = 20 + 12p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 3P = 20 + -47 + 12p Combine like terms: 47 + -47 = 0 0 + 3P = 20 + -47 + 12p 3P = 20 + -47 + 12p Combine like terms: 20 + -47 = -27 3P = -27 + 12p Divide each side by '3'. P = -9 + 4p Simplifying P = -9 + 4p
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