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Simplifying 4(p + 3) + 4(p + -6) = 0 Reorder the terms: 4(3 + p) + 4(p + -6) = 0 (3 * 4 + p * 4) + 4(p + -6) = 0 (12 + 4p) + 4(p + -6) = 0 Reorder the terms: 12 + 4p + 4(-6 + p) = 0 12 + 4p + (-6 * 4 + p * 4) = 0 12 + 4p + (-24 + 4p) = 0 Reorder the terms: 12 + -24 + 4p + 4p = 0 Combine like terms: 12 + -24 = -12 -12 + 4p + 4p = 0 Combine like terms: 4p + 4p = 8p -12 + 8p = 0 Solving -12 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8p = 0 + 12 8p = 0 + 12 Combine like terms: 0 + 12 = 12 8p = 12 Divide each side by '8'. p = 1.5 Simplifying p = 1.5
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