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Simplifying (3p + -42) + (p + 10) = 180 Reorder the terms: (-42 + 3p) + (p + 10) = 180 Remove parenthesis around (-42 + 3p) -42 + 3p + (p + 10) = 180 Reorder the terms: -42 + 3p + (10 + p) = 180 Remove parenthesis around (10 + p) -42 + 3p + 10 + p = 180 Reorder the terms: -42 + 10 + 3p + p = 180 Combine like terms: -42 + 10 = -32 -32 + 3p + p = 180 Combine like terms: 3p + p = 4p -32 + 4p = 180 Solving -32 + 4p = 180 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4p = 180 + 32 Combine like terms: -32 + 32 = 0 0 + 4p = 180 + 32 4p = 180 + 32 Combine like terms: 180 + 32 = 212 4p = 212 Divide each side by '4'. p = 53 Simplifying p = 53
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