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Simplifying 5(p + 3) = -2(-2 + -3p) Reorder the terms: 5(3 + p) = -2(-2 + -3p) (3 * 5 + p * 5) = -2(-2 + -3p) (15 + 5p) = -2(-2 + -3p) 15 + 5p = (-2 * -2 + -3p * -2) 15 + 5p = (4 + 6p) Solving 15 + 5p = 4 + 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. 15 + 5p + -6p = 4 + 6p + -6p Combine like terms: 5p + -6p = -1p 15 + -1p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 15 + -1p = 4 + 0 15 + -1p = 4 Add '-15' to each side of the equation. 15 + -15 + -1p = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -1p = 4 + -15 -1p = 4 + -15 Combine like terms: 4 + -15 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11
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