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Simplifying -5(p + -6) + 1 = 3(1 + -4p) Reorder the terms: -5(-6 + p) + 1 = 3(1 + -4p) (-6 * -5 + p * -5) + 1 = 3(1 + -4p) (30 + -5p) + 1 = 3(1 + -4p) Reorder the terms: 30 + 1 + -5p = 3(1 + -4p) Combine like terms: 30 + 1 = 31 31 + -5p = 3(1 + -4p) 31 + -5p = (1 * 3 + -4p * 3) 31 + -5p = (3 + -12p) Solving 31 + -5p = 3 + -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. 31 + -5p + 12p = 3 + -12p + 12p Combine like terms: -5p + 12p = 7p 31 + 7p = 3 + -12p + 12p Combine like terms: -12p + 12p = 0 31 + 7p = 3 + 0 31 + 7p = 3 Add '-31' to each side of the equation. 31 + -31 + 7p = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 7p = 3 + -31 7p = 3 + -31 Combine like terms: 3 + -31 = -28 7p = -28 Divide each side by '7'. p = -4 Simplifying p = -4
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