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Simplifying 4p + 12 = 4(2p + -2) Reorder the terms: 12 + 4p = 4(2p + -2) Reorder the terms: 12 + 4p = 4(-2 + 2p) 12 + 4p = (-2 * 4 + 2p * 4) 12 + 4p = (-8 + 8p) Solving 12 + 4p = -8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 12 + 4p + -8p = -8 + 8p + -8p Combine like terms: 4p + -8p = -4p 12 + -4p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 12 + -4p = -8 + 0 12 + -4p = -8 Add '-12' to each side of the equation. 12 + -12 + -4p = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = -8 + -12 -4p = -8 + -12 Combine like terms: -8 + -12 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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