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Simplifying 2(3p + -5) + -3(p + -6) = 0 Reorder the terms: 2(-5 + 3p) + -3(p + -6) = 0 (-5 * 2 + 3p * 2) + -3(p + -6) = 0 (-10 + 6p) + -3(p + -6) = 0 Reorder the terms: -10 + 6p + -3(-6 + p) = 0 -10 + 6p + (-6 * -3 + p * -3) = 0 -10 + 6p + (18 + -3p) = 0 Reorder the terms: -10 + 18 + 6p + -3p = 0 Combine like terms: -10 + 18 = 8 8 + 6p + -3p = 0 Combine like terms: 6p + -3p = 3p 8 + 3p = 0 Solving 8 + 3p = 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 + 3p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 0 + -8 3p = 0 + -8 Combine like terms: 0 + -8 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667
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