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Simplifying 2(6p + 1) + 5(p + -2) = 0 Reorder the terms: 2(1 + 6p) + 5(p + -2) = 0 (1 * 2 + 6p * 2) + 5(p + -2) = 0 (2 + 12p) + 5(p + -2) = 0 Reorder the terms: 2 + 12p + 5(-2 + p) = 0 2 + 12p + (-2 * 5 + p * 5) = 0 2 + 12p + (-10 + 5p) = 0 Reorder the terms: 2 + -10 + 12p + 5p = 0 Combine like terms: 2 + -10 = -8 -8 + 12p + 5p = 0 Combine like terms: 12p + 5p = 17p -8 + 17p = 0 Solving -8 + 17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 17p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 17p = 0 + 8 17p = 0 + 8 Combine like terms: 0 + 8 = 8 17p = 8 Divide each side by '17'. p = 0.4705882353 Simplifying p = 0.4705882353
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