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Simplifying 6p + -11 = 3(p + 1) + 7 Reorder the terms: -11 + 6p = 3(p + 1) + 7 Reorder the terms: -11 + 6p = 3(1 + p) + 7 -11 + 6p = (1 * 3 + p * 3) + 7 -11 + 6p = (3 + 3p) + 7 Reorder the terms: -11 + 6p = 3 + 7 + 3p Combine like terms: 3 + 7 = 10 -11 + 6p = 10 + 3p Solving -11 + 6p = 10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -11 + 6p + -3p = 10 + 3p + -3p Combine like terms: 6p + -3p = 3p -11 + 3p = 10 + 3p + -3p Combine like terms: 3p + -3p = 0 -11 + 3p = 10 + 0 -11 + 3p = 10 Add '11' to each side of the equation. -11 + 11 + 3p = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3p = 10 + 11 3p = 10 + 11 Combine like terms: 10 + 11 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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