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