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Simplifying 3(p + -7) + -6(8p + 4) = 45 Reorder the terms: 3(-7 + p) + -6(8p + 4) = 45 (-7 * 3 + p * 3) + -6(8p + 4) = 45 (-21 + 3p) + -6(8p + 4) = 45 Reorder the terms: -21 + 3p + -6(4 + 8p) = 45 -21 + 3p + (4 * -6 + 8p * -6) = 45 -21 + 3p + (-24 + -48p) = 45 Reorder the terms: -21 + -24 + 3p + -48p = 45 Combine like terms: -21 + -24 = -45 -45 + 3p + -48p = 45 Combine like terms: 3p + -48p = -45p -45 + -45p = 45 Solving -45 + -45p = 45 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -45p = 45 + 45 Combine like terms: -45 + 45 = 0 0 + -45p = 45 + 45 -45p = 45 + 45 Combine like terms: 45 + 45 = 90 -45p = 90 Divide each side by '-45'. p = -2 Simplifying p = -2
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