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Simplifying -3(7p + 5) + -2(1 + -17p) = 3(8 + 4p) Reorder the terms: -3(5 + 7p) + -2(1 + -17p) = 3(8 + 4p) (5 * -3 + 7p * -3) + -2(1 + -17p) = 3(8 + 4p) (-15 + -21p) + -2(1 + -17p) = 3(8 + 4p) -15 + -21p + (1 * -2 + -17p * -2) = 3(8 + 4p) -15 + -21p + (-2 + 34p) = 3(8 + 4p) Reorder the terms: -15 + -2 + -21p + 34p = 3(8 + 4p) Combine like terms: -15 + -2 = -17 -17 + -21p + 34p = 3(8 + 4p) Combine like terms: -21p + 34p = 13p -17 + 13p = 3(8 + 4p) -17 + 13p = (8 * 3 + 4p * 3) -17 + 13p = (24 + 12p) Solving -17 + 13p = 24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -17 + 13p + -12p = 24 + 12p + -12p Combine like terms: 13p + -12p = 1p -17 + 1p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -17 + 1p = 24 + 0 -17 + 1p = 24 Add '17' to each side of the equation. -17 + 17 + 1p = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 24 + 17 1p = 24 + 17 Combine like terms: 24 + 17 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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