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Simplifying 5(6p + -5) + -3(4p + -7) = 0 Reorder the terms: 5(-5 + 6p) + -3(4p + -7) = 0 (-5 * 5 + 6p * 5) + -3(4p + -7) = 0 (-25 + 30p) + -3(4p + -7) = 0 Reorder the terms: -25 + 30p + -3(-7 + 4p) = 0 -25 + 30p + (-7 * -3 + 4p * -3) = 0 -25 + 30p + (21 + -12p) = 0 Reorder the terms: -25 + 21 + 30p + -12p = 0 Combine like terms: -25 + 21 = -4 -4 + 30p + -12p = 0 Combine like terms: 30p + -12p = 18p -4 + 18p = 0 Solving -4 + 18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 18p = 0 + 4 18p = 0 + 4 Combine like terms: 0 + 4 = 4 18p = 4 Divide each side by '18'. p = 0.2222222222 Simplifying p = 0.2222222222
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