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Simplifying 6(p + -2) = 36 + -10p Reorder the terms: 6(-2 + p) = 36 + -10p (-2 * 6 + p * 6) = 36 + -10p (-12 + 6p) = 36 + -10p Solving -12 + 6p = 36 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -12 + 6p + 10p = 36 + -10p + 10p Combine like terms: 6p + 10p = 16p -12 + 16p = 36 + -10p + 10p Combine like terms: -10p + 10p = 0 -12 + 16p = 36 + 0 -12 + 16p = 36 Add '12' to each side of the equation. -12 + 12 + 16p = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 16p = 36 + 12 16p = 36 + 12 Combine like terms: 36 + 12 = 48 16p = 48 Divide each side by '16'. p = 3 Simplifying p = 3
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