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Simplifying 5(p + 3) + 9 = 4(p + -2) Reorder the terms: 5(3 + p) + 9 = 4(p + -2) (3 * 5 + p * 5) + 9 = 4(p + -2) (15 + 5p) + 9 = 4(p + -2) Reorder the terms: 15 + 9 + 5p = 4(p + -2) Combine like terms: 15 + 9 = 24 24 + 5p = 4(p + -2) Reorder the terms: 24 + 5p = 4(-2 + p) 24 + 5p = (-2 * 4 + p * 4) 24 + 5p = (-8 + 4p) Solving 24 + 5p = -8 + 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 + 5p + -4p = -8 + 4p + -4p Combine like terms: 5p + -4p = 1p 24 + 1p = -8 + 4p + -4p Combine like terms: 4p + -4p = 0 24 + 1p = -8 + 0 24 + 1p = -8 Add '-24' to each side of the equation. 24 + -24 + 1p = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 1p = -8 + -24 1p = -8 + -24 Combine like terms: -8 + -24 = -32 1p = -32 Divide each side by '1'. p = -32 Simplifying p = -32
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