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Simplifying -11p + -6(4 + -3p) = 4(p + -3) + -9 -11p + (4 * -6 + -3p * -6) = 4(p + -3) + -9 -11p + (-24 + 18p) = 4(p + -3) + -9 Reorder the terms: -24 + -11p + 18p = 4(p + -3) + -9 Combine like terms: -11p + 18p = 7p -24 + 7p = 4(p + -3) + -9 Reorder the terms: -24 + 7p = 4(-3 + p) + -9 -24 + 7p = (-3 * 4 + p * 4) + -9 -24 + 7p = (-12 + 4p) + -9 Reorder the terms: -24 + 7p = -12 + -9 + 4p Combine like terms: -12 + -9 = -21 -24 + 7p = -21 + 4p Solving -24 + 7p = -21 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -24 + 7p + -4p = -21 + 4p + -4p Combine like terms: 7p + -4p = 3p -24 + 3p = -21 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 3p = -21 + 0 -24 + 3p = -21 Add '24' to each side of the equation. -24 + 24 + 3p = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -21 + 24 3p = -21 + 24 Combine like terms: -21 + 24 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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