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Simplifying -6(-7p + 7) = 7p + 28 Reorder the terms: -6(7 + -7p) = 7p + 28 (7 * -6 + -7p * -6) = 7p + 28 (-42 + 42p) = 7p + 28 Reorder the terms: -42 + 42p = 28 + 7p Solving -42 + 42p = 28 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -42 + 42p + -7p = 28 + 7p + -7p Combine like terms: 42p + -7p = 35p -42 + 35p = 28 + 7p + -7p Combine like terms: 7p + -7p = 0 -42 + 35p = 28 + 0 -42 + 35p = 28 Add '42' to each side of the equation. -42 + 42 + 35p = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 35p = 28 + 42 35p = 28 + 42 Combine like terms: 28 + 42 = 70 35p = 70 Divide each side by '35'. p = 2 Simplifying p = 2
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