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Simplifying -11p + -6(4 + -3p) = 3(p + -3) + -31 -11p + (4 * -6 + -3p * -6) = 3(p + -3) + -31 -11p + (-24 + 18p) = 3(p + -3) + -31 Reorder the terms: -24 + -11p + 18p = 3(p + -3) + -31 Combine like terms: -11p + 18p = 7p -24 + 7p = 3(p + -3) + -31 Reorder the terms: -24 + 7p = 3(-3 + p) + -31 -24 + 7p = (-3 * 3 + p * 3) + -31 -24 + 7p = (-9 + 3p) + -31 Reorder the terms: -24 + 7p = -9 + -31 + 3p Combine like terms: -9 + -31 = -40 -24 + 7p = -40 + 3p Solving -24 + 7p = -40 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -24 + 7p + -3p = -40 + 3p + -3p Combine like terms: 7p + -3p = 4p -24 + 4p = -40 + 3p + -3p Combine like terms: 3p + -3p = 0 -24 + 4p = -40 + 0 -24 + 4p = -40 Add '24' to each side of the equation. -24 + 24 + 4p = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -40 + 24 4p = -40 + 24 Combine like terms: -40 + 24 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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