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Simplifying 5(4p + 4) = -12(-3p + 1) Reorder the terms: 5(4 + 4p) = -12(-3p + 1) (4 * 5 + 4p * 5) = -12(-3p + 1) (20 + 20p) = -12(-3p + 1) Reorder the terms: 20 + 20p = -12(1 + -3p) 20 + 20p = (1 * -12 + -3p * -12) 20 + 20p = (-12 + 36p) Solving 20 + 20p = -12 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 20 + 20p + -36p = -12 + 36p + -36p Combine like terms: 20p + -36p = -16p 20 + -16p = -12 + 36p + -36p Combine like terms: 36p + -36p = 0 20 + -16p = -12 + 0 20 + -16p = -12 Add '-20' to each side of the equation. 20 + -20 + -16p = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -16p = -12 + -20 -16p = -12 + -20 Combine like terms: -12 + -20 = -32 -16p = -32 Divide each side by '-16'. p = 2 Simplifying p = 2
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