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Simplifying -80 = 4(p + -7) + -4(1 + -2p) Reorder the terms: -80 = 4(-7 + p) + -4(1 + -2p) -80 = (-7 * 4 + p * 4) + -4(1 + -2p) -80 = (-28 + 4p) + -4(1 + -2p) -80 = -28 + 4p + (1 * -4 + -2p * -4) -80 = -28 + 4p + (-4 + 8p) Reorder the terms: -80 = -28 + -4 + 4p + 8p Combine like terms: -28 + -4 = -32 -80 = -32 + 4p + 8p Combine like terms: 4p + 8p = 12p -80 = -32 + 12p Solving -80 = -32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -80 + -12p = -32 + 12p + -12p Combine like terms: 12p + -12p = 0 -80 + -12p = -32 + 0 -80 + -12p = -32 Add '80' to each side of the equation. -80 + 80 + -12p = -32 + 80 Combine like terms: -80 + 80 = 0 0 + -12p = -32 + 80 -12p = -32 + 80 Combine like terms: -32 + 80 = 48 -12p = 48 Divide each side by '-12'. p = -4 Simplifying p = -4
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