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Simplifying 4(p + 2) = 5(p + -3) Reorder the terms: 4(2 + p) = 5(p + -3) (2 * 4 + p * 4) = 5(p + -3) (8 + 4p) = 5(p + -3) Reorder the terms: 8 + 4p = 5(-3 + p) 8 + 4p = (-3 * 5 + p * 5) 8 + 4p = (-15 + 5p) Solving 8 + 4p = -15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 8 + 4p + -5p = -15 + 5p + -5p Combine like terms: 4p + -5p = -1p 8 + -1p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + -1p = -15 + 0 8 + -1p = -15 Add '-8' to each side of the equation. 8 + -8 + -1p = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = -15 + -8 -1p = -15 + -8 Combine like terms: -15 + -8 = -23 -1p = -23 Divide each side by '-1'. p = 23 Simplifying p = 23
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