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Simplifying -7p + 5(4p + -7) = -7 + 2(6p + -7) Reorder the terms: -7p + 5(-7 + 4p) = -7 + 2(6p + -7) -7p + (-7 * 5 + 4p * 5) = -7 + 2(6p + -7) -7p + (-35 + 20p) = -7 + 2(6p + -7) Reorder the terms: -35 + -7p + 20p = -7 + 2(6p + -7) Combine like terms: -7p + 20p = 13p -35 + 13p = -7 + 2(6p + -7) Reorder the terms: -35 + 13p = -7 + 2(-7 + 6p) -35 + 13p = -7 + (-7 * 2 + 6p * 2) -35 + 13p = -7 + (-14 + 12p) Combine like terms: -7 + -14 = -21 -35 + 13p = -21 + 12p Solving -35 + 13p = -21 + 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. -35 + 13p + -12p = -21 + 12p + -12p Combine like terms: 13p + -12p = 1p -35 + 1p = -21 + 12p + -12p Combine like terms: 12p + -12p = 0 -35 + 1p = -21 + 0 -35 + 1p = -21 Add '35' to each side of the equation. -35 + 35 + 1p = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 1p = -21 + 35 1p = -21 + 35 Combine like terms: -21 + 35 = 14 1p = 14 Divide each side by '1'. p = 14 Simplifying p = 14
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