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Simplifying 3p + -1(6p + 12) = 9 + -1(10p + -5) Reorder the terms: 3p + -1(12 + 6p) = 9 + -1(10p + -5) 3p + (12 * -1 + 6p * -1) = 9 + -1(10p + -5) 3p + (-12 + -6p) = 9 + -1(10p + -5) Reorder the terms: -12 + 3p + -6p = 9 + -1(10p + -5) Combine like terms: 3p + -6p = -3p -12 + -3p = 9 + -1(10p + -5) Reorder the terms: -12 + -3p = 9 + -1(-5 + 10p) -12 + -3p = 9 + (-5 * -1 + 10p * -1) -12 + -3p = 9 + (5 + -10p) Combine like terms: 9 + 5 = 14 -12 + -3p = 14 + -10p Solving -12 + -3p = 14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -12 + -3p + 10p = 14 + -10p + 10p Combine like terms: -3p + 10p = 7p -12 + 7p = 14 + -10p + 10p Combine like terms: -10p + 10p = 0 -12 + 7p = 14 + 0 -12 + 7p = 14 Add '12' to each side of the equation. -12 + 12 + 7p = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 7p = 14 + 12 7p = 14 + 12 Combine like terms: 14 + 12 = 26 7p = 26 Divide each side by '7'. p = 3.714285714 Simplifying p = 3.714285714
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