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Simplifying -3p + 36 = 4p + -4(p + -3) Reorder the terms: 36 + -3p = 4p + -4(p + -3) Reorder the terms: 36 + -3p = 4p + -4(-3 + p) 36 + -3p = 4p + (-3 * -4 + p * -4) 36 + -3p = 4p + (12 + -4p) Reorder the terms: 36 + -3p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 36 + -3p = 12 + 0 36 + -3p = 12 Solving 36 + -3p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -3p = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3p = 12 + -36 -3p = 12 + -36 Combine like terms: 12 + -36 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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