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Simplifying 6p + -3(4p + 3) + 4(6p + 1) = 43 Reorder the terms: 6p + -3(3 + 4p) + 4(6p + 1) = 43 6p + (3 * -3 + 4p * -3) + 4(6p + 1) = 43 6p + (-9 + -12p) + 4(6p + 1) = 43 Reorder the terms: 6p + -9 + -12p + 4(1 + 6p) = 43 6p + -9 + -12p + (1 * 4 + 6p * 4) = 43 6p + -9 + -12p + (4 + 24p) = 43 Reorder the terms: -9 + 4 + 6p + -12p + 24p = 43 Combine like terms: -9 + 4 = -5 -5 + 6p + -12p + 24p = 43 Combine like terms: 6p + -12p = -6p -5 + -6p + 24p = 43 Combine like terms: -6p + 24p = 18p -5 + 18p = 43 Solving -5 + 18p = 43 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 18p = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 18p = 43 + 5 18p = 43 + 5 Combine like terms: 43 + 5 = 48 18p = 48 Divide each side by '18'. p = 2.666666667 Simplifying p = 2.666666667
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