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Simplifying 4(3p + -5) = 3(3p + -4) Reorder the terms: 4(-5 + 3p) = 3(3p + -4) (-5 * 4 + 3p * 4) = 3(3p + -4) (-20 + 12p) = 3(3p + -4) Reorder the terms: -20 + 12p = 3(-4 + 3p) -20 + 12p = (-4 * 3 + 3p * 3) -20 + 12p = (-12 + 9p) Solving -20 + 12p = -12 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -20 + 12p + -9p = -12 + 9p + -9p Combine like terms: 12p + -9p = 3p -20 + 3p = -12 + 9p + -9p Combine like terms: 9p + -9p = 0 -20 + 3p = -12 + 0 -20 + 3p = -12 Add '20' to each side of the equation. -20 + 20 + 3p = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -12 + 20 3p = -12 + 20 Combine like terms: -12 + 20 = 8 3p = 8 Divide each side by '3'. p = 2.666666667 Simplifying p = 2.666666667
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