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Simplifying -7(p + -5) = -7(1 + 7p) Reorder the terms: -7(-5 + p) = -7(1 + 7p) (-5 * -7 + p * -7) = -7(1 + 7p) (35 + -7p) = -7(1 + 7p) 35 + -7p = (1 * -7 + 7p * -7) 35 + -7p = (-7 + -49p) Solving 35 + -7p = -7 + -49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '49p' to each side of the equation. 35 + -7p + 49p = -7 + -49p + 49p Combine like terms: -7p + 49p = 42p 35 + 42p = -7 + -49p + 49p Combine like terms: -49p + 49p = 0 35 + 42p = -7 + 0 35 + 42p = -7 Add '-35' to each side of the equation. 35 + -35 + 42p = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 42p = -7 + -35 42p = -7 + -35 Combine like terms: -7 + -35 = -42 42p = -42 Divide each side by '42'. p = -1 Simplifying p = -1
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