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Simplifying 12 + -5(p + -6) = 12(p + 12) Reorder the terms: 12 + -5(-6 + p) = 12(p + 12) 12 + (-6 * -5 + p * -5) = 12(p + 12) 12 + (30 + -5p) = 12(p + 12) Combine like terms: 12 + 30 = 42 42 + -5p = 12(p + 12) Reorder the terms: 42 + -5p = 12(12 + p) 42 + -5p = (12 * 12 + p * 12) 42 + -5p = (144 + 12p) Solving 42 + -5p = 144 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 42 + -5p + -12p = 144 + 12p + -12p Combine like terms: -5p + -12p = -17p 42 + -17p = 144 + 12p + -12p Combine like terms: 12p + -12p = 0 42 + -17p = 144 + 0 42 + -17p = 144 Add '-42' to each side of the equation. 42 + -42 + -17p = 144 + -42 Combine like terms: 42 + -42 = 0 0 + -17p = 144 + -42 -17p = 144 + -42 Combine like terms: 144 + -42 = 102 -17p = 102 Divide each side by '-17'. p = -6 Simplifying p = -6
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