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Simplifying p(1 + 4) + -2(p + 6) = 6 Combine like terms: 1 + 4 = 5 p(5) + -2(p + 6) = 6 Reorder the terms for easier multiplication: 5p + -2(p + 6) = 6 Reorder the terms: 5p + -2(6 + p) = 6 5p + (6 * -2 + p * -2) = 6 5p + (-12 + -2p) = 6 Reorder the terms: -12 + 5p + -2p = 6 Combine like terms: 5p + -2p = 3p -12 + 3p = 6 Solving -12 + 3p = 6 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 + 3p = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = 6 + 12 3p = 6 + 12 Combine like terms: 6 + 12 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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