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Simplifying 4p + 8 = 6(3p + 2) + 3(9 + -5p) Reorder the terms: 8 + 4p = 6(3p + 2) + 3(9 + -5p) Reorder the terms: 8 + 4p = 6(2 + 3p) + 3(9 + -5p) 8 + 4p = (2 * 6 + 3p * 6) + 3(9 + -5p) 8 + 4p = (12 + 18p) + 3(9 + -5p) 8 + 4p = 12 + 18p + (9 * 3 + -5p * 3) 8 + 4p = 12 + 18p + (27 + -15p) Reorder the terms: 8 + 4p = 12 + 27 + 18p + -15p Combine like terms: 12 + 27 = 39 8 + 4p = 39 + 18p + -15p Combine like terms: 18p + -15p = 3p 8 + 4p = 39 + 3p Solving 8 + 4p = 39 + 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. 8 + 4p + -3p = 39 + 3p + -3p Combine like terms: 4p + -3p = 1p 8 + 1p = 39 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + 1p = 39 + 0 8 + 1p = 39 Add '-8' to each side of the equation. 8 + -8 + 1p = 39 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 39 + -8 1p = 39 + -8 Combine like terms: 39 + -8 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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