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Simplifying 10 = 7 + 3(2p + 1) Reorder the terms: 10 = 7 + 3(1 + 2p) 10 = 7 + (1 * 3 + 2p * 3) 10 = 7 + (3 + 6p) Combine like terms: 7 + 3 = 10 10 = 10 + 6p Add '-10' to each side of the equation. 10 + -10 = 10 + -10 + 6p Combine like terms: 10 + -10 = 0 0 = 10 + -10 + 6p Combine like terms: 10 + -10 = 0 0 = 0 + 6p 0 = 6p Solving 0 = 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. 0 + -6p = 6p + -6p Remove the zero: -6p = 6p + -6p Combine like terms: 6p + -6p = 0 -6p = 0 Divide each side by '-6'. p = 0 Simplifying p = 0
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