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Simplifying -7(1 + 5p) = 7(-7p + 3) (1 * -7 + 5p * -7) = 7(-7p + 3) (-7 + -35p) = 7(-7p + 3) Reorder the terms: -7 + -35p = 7(3 + -7p) -7 + -35p = (3 * 7 + -7p * 7) -7 + -35p = (21 + -49p) Solving -7 + -35p = 21 + -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. -7 + -35p + 49p = 21 + -49p + 49p Combine like terms: -35p + 49p = 14p -7 + 14p = 21 + -49p + 49p Combine like terms: -49p + 49p = 0 -7 + 14p = 21 + 0 -7 + 14p = 21 Add '7' to each side of the equation. -7 + 7 + 14p = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 14p = 21 + 7 14p = 21 + 7 Combine like terms: 21 + 7 = 28 14p = 28 Divide each side by '14'. p = 2 Simplifying p = 2
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