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Simplifying 5(p + 2) + -2(2p + -3) = 0 Reorder the terms: 5(2 + p) + -2(2p + -3) = 0 (2 * 5 + p * 5) + -2(2p + -3) = 0 (10 + 5p) + -2(2p + -3) = 0 Reorder the terms: 10 + 5p + -2(-3 + 2p) = 0 10 + 5p + (-3 * -2 + 2p * -2) = 0 10 + 5p + (6 + -4p) = 0 Reorder the terms: 10 + 6 + 5p + -4p = 0 Combine like terms: 10 + 6 = 16 16 + 5p + -4p = 0 Combine like terms: 5p + -4p = 1p 16 + 1p = 0 Solving 16 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1p = 0 + -16 1p = 0 + -16 Combine like terms: 0 + -16 = -16 1p = -16 Divide each side by '1'. p = -16 Simplifying p = -16
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