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Simplifying 1 + 3p = 2(3p + -8) + 2 Reorder the terms: 1 + 3p = 2(-8 + 3p) + 2 1 + 3p = (-8 * 2 + 3p * 2) + 2 1 + 3p = (-16 + 6p) + 2 Reorder the terms: 1 + 3p = -16 + 2 + 6p Combine like terms: -16 + 2 = -14 1 + 3p = -14 + 6p Solving 1 + 3p = -14 + 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. 1 + 3p + -6p = -14 + 6p + -6p Combine like terms: 3p + -6p = -3p 1 + -3p = -14 + 6p + -6p Combine like terms: 6p + -6p = 0 1 + -3p = -14 + 0 1 + -3p = -14 Add '-1' to each side of the equation. 1 + -1 + -3p = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = -14 + -1 -3p = -14 + -1 Combine like terms: -14 + -1 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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