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Simplifying 3p + -2(4p + 2) = -8p + -4(1 + 7p) Reorder the terms: 3p + -2(2 + 4p) = -8p + -4(1 + 7p) 3p + (2 * -2 + 4p * -2) = -8p + -4(1 + 7p) 3p + (-4 + -8p) = -8p + -4(1 + 7p) Reorder the terms: -4 + 3p + -8p = -8p + -4(1 + 7p) Combine like terms: 3p + -8p = -5p -4 + -5p = -8p + -4(1 + 7p) -4 + -5p = -8p + (1 * -4 + 7p * -4) -4 + -5p = -8p + (-4 + -28p) Reorder the terms: -4 + -5p = -4 + -8p + -28p Combine like terms: -8p + -28p = -36p -4 + -5p = -4 + -36p Add '4' to each side of the equation. -4 + 4 + -5p = -4 + 4 + -36p Combine like terms: -4 + 4 = 0 0 + -5p = -4 + 4 + -36p -5p = -4 + 4 + -36p Combine like terms: -4 + 4 = 0 -5p = 0 + -36p -5p = -36p Solving -5p = -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. -5p + 36p = -36p + 36p Combine like terms: -5p + 36p = 31p 31p = -36p + 36p Combine like terms: -36p + 36p = 0 31p = 0 Divide each side by '31'. p = 0 Simplifying p = 0
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