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Simplifying -12p + -1(p + 10) = -9(p + 6) Reorder the terms: -12p + -1(10 + p) = -9(p + 6) -12p + (10 * -1 + p * -1) = -9(p + 6) -12p + (-10 + -1p) = -9(p + 6) Reorder the terms: -10 + -12p + -1p = -9(p + 6) Combine like terms: -12p + -1p = -13p -10 + -13p = -9(p + 6) Reorder the terms: -10 + -13p = -9(6 + p) -10 + -13p = (6 * -9 + p * -9) -10 + -13p = (-54 + -9p) Solving -10 + -13p = -54 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -10 + -13p + 9p = -54 + -9p + 9p Combine like terms: -13p + 9p = -4p -10 + -4p = -54 + -9p + 9p Combine like terms: -9p + 9p = 0 -10 + -4p = -54 + 0 -10 + -4p = -54 Add '10' to each side of the equation. -10 + 10 + -4p = -54 + 10 Combine like terms: -10 + 10 = 0 0 + -4p = -54 + 10 -4p = -54 + 10 Combine like terms: -54 + 10 = -44 -4p = -44 Divide each side by '-4'. p = 11 Simplifying p = 11
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