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Simplifying 6(3p + -5) + -1(6p + 4) = 0 Reorder the terms: 6(-5 + 3p) + -1(6p + 4) = 0 (-5 * 6 + 3p * 6) + -1(6p + 4) = 0 (-30 + 18p) + -1(6p + 4) = 0 Reorder the terms: -30 + 18p + -1(4 + 6p) = 0 -30 + 18p + (4 * -1 + 6p * -1) = 0 -30 + 18p + (-4 + -6p) = 0 Reorder the terms: -30 + -4 + 18p + -6p = 0 Combine like terms: -30 + -4 = -34 -34 + 18p + -6p = 0 Combine like terms: 18p + -6p = 12p -34 + 12p = 0 Solving -34 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 12p = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 12p = 0 + 34 12p = 0 + 34 Combine like terms: 0 + 34 = 34 12p = 34 Divide each side by '12'. p = 2.833333333 Simplifying p = 2.833333333
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