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Simplifying 9p + -8 = 4(3p + -2) + -4 Reorder the terms: -8 + 9p = 4(3p + -2) + -4 Reorder the terms: -8 + 9p = 4(-2 + 3p) + -4 -8 + 9p = (-2 * 4 + 3p * 4) + -4 -8 + 9p = (-8 + 12p) + -4 Reorder the terms: -8 + 9p = -8 + -4 + 12p Combine like terms: -8 + -4 = -12 -8 + 9p = -12 + 12p Solving -8 + 9p = -12 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -8 + 9p + -12p = -12 + 12p + -12p Combine like terms: 9p + -12p = -3p -8 + -3p = -12 + 12p + -12p Combine like terms: 12p + -12p = 0 -8 + -3p = -12 + 0 -8 + -3p = -12 Add '8' to each side of the equation. -8 + 8 + -3p = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = -12 + 8 -3p = -12 + 8 Combine like terms: -12 + 8 = -4 -3p = -4 Divide each side by '-3'. p = 1.333333333 Simplifying p = 1.333333333
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