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