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Simplifying -10(p + 7) = -7(5p + 10) Reorder the terms: -10(7 + p) = -7(5p + 10) (7 * -10 + p * -10) = -7(5p + 10) (-70 + -10p) = -7(5p + 10) Reorder the terms: -70 + -10p = -7(10 + 5p) -70 + -10p = (10 * -7 + 5p * -7) -70 + -10p = (-70 + -35p) Add '70' to each side of the equation. -70 + 70 + -10p = -70 + 70 + -35p Combine like terms: -70 + 70 = 0 0 + -10p = -70 + 70 + -35p -10p = -70 + 70 + -35p Combine like terms: -70 + 70 = 0 -10p = 0 + -35p -10p = -35p Solving -10p = -35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35p' to each side of the equation. -10p + 35p = -35p + 35p Combine like terms: -10p + 35p = 25p 25p = -35p + 35p Combine like terms: -35p + 35p = 0 25p = 0 Divide each side by '25'. p = 0 Simplifying p = 0
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