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Simplifying 4 + 3(p + -5) = 9(p + -4) Reorder the terms: 4 + 3(-5 + p) = 9(p + -4) 4 + (-5 * 3 + p * 3) = 9(p + -4) 4 + (-15 + 3p) = 9(p + -4) Combine like terms: 4 + -15 = -11 -11 + 3p = 9(p + -4) Reorder the terms: -11 + 3p = 9(-4 + p) -11 + 3p = (-4 * 9 + p * 9) -11 + 3p = (-36 + 9p) Solving -11 + 3p = -36 + 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. -11 + 3p + -9p = -36 + 9p + -9p Combine like terms: 3p + -9p = -6p -11 + -6p = -36 + 9p + -9p Combine like terms: 9p + -9p = 0 -11 + -6p = -36 + 0 -11 + -6p = -36 Add '11' to each side of the equation. -11 + 11 + -6p = -36 + 11 Combine like terms: -11 + 11 = 0 0 + -6p = -36 + 11 -6p = -36 + 11 Combine like terms: -36 + 11 = -25 -6p = -25 Divide each side by '-6'. p = 4.166666667 Simplifying p = 4.166666667
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