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Simplifying -3(p + 4) + 23 = -2(3p + -5) Reorder the terms: -3(4 + p) + 23 = -2(3p + -5) (4 * -3 + p * -3) + 23 = -2(3p + -5) (-12 + -3p) + 23 = -2(3p + -5) Reorder the terms: -12 + 23 + -3p = -2(3p + -5) Combine like terms: -12 + 23 = 11 11 + -3p = -2(3p + -5) Reorder the terms: 11 + -3p = -2(-5 + 3p) 11 + -3p = (-5 * -2 + 3p * -2) 11 + -3p = (10 + -6p) Solving 11 + -3p = 10 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 11 + -3p + 6p = 10 + -6p + 6p Combine like terms: -3p + 6p = 3p 11 + 3p = 10 + -6p + 6p Combine like terms: -6p + 6p = 0 11 + 3p = 10 + 0 11 + 3p = 10 Add '-11' to each side of the equation. 11 + -11 + 3p = 10 + -11 Combine like terms: 11 + -11 = 0 0 + 3p = 10 + -11 3p = 10 + -11 Combine like terms: 10 + -11 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333
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