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Simplifying 16 + -6p = 4(-2p + 7) Reorder the terms: 16 + -6p = 4(7 + -2p) 16 + -6p = (7 * 4 + -2p * 4) 16 + -6p = (28 + -8p) Solving 16 + -6p = 28 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 16 + -6p + 8p = 28 + -8p + 8p Combine like terms: -6p + 8p = 2p 16 + 2p = 28 + -8p + 8p Combine like terms: -8p + 8p = 0 16 + 2p = 28 + 0 16 + 2p = 28 Add '-16' to each side of the equation. 16 + -16 + 2p = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 2p = 28 + -16 2p = 28 + -16 Combine like terms: 28 + -16 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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