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Simplifying 12(p + -1) = 6p + -10(p + 6) Reorder the terms: 12(-1 + p) = 6p + -10(p + 6) (-1 * 12 + p * 12) = 6p + -10(p + 6) (-12 + 12p) = 6p + -10(p + 6) Reorder the terms: -12 + 12p = 6p + -10(6 + p) -12 + 12p = 6p + (6 * -10 + p * -10) -12 + 12p = 6p + (-60 + -10p) Reorder the terms: -12 + 12p = -60 + 6p + -10p Combine like terms: 6p + -10p = -4p -12 + 12p = -60 + -4p Solving -12 + 12p = -60 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -12 + 12p + 4p = -60 + -4p + 4p Combine like terms: 12p + 4p = 16p -12 + 16p = -60 + -4p + 4p Combine like terms: -4p + 4p = 0 -12 + 16p = -60 + 0 -12 + 16p = -60 Add '12' to each side of the equation. -12 + 12 + 16p = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 16p = -60 + 12 16p = -60 + 12 Combine like terms: -60 + 12 = -48 16p = -48 Divide each side by '16'. p = -3 Simplifying p = -3
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