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Simplifying -8p + 30 = 5(p + -7) Reorder the terms: 30 + -8p = 5(p + -7) Reorder the terms: 30 + -8p = 5(-7 + p) 30 + -8p = (-7 * 5 + p * 5) 30 + -8p = (-35 + 5p) Solving 30 + -8p = -35 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 30 + -8p + -5p = -35 + 5p + -5p Combine like terms: -8p + -5p = -13p 30 + -13p = -35 + 5p + -5p Combine like terms: 5p + -5p = 0 30 + -13p = -35 + 0 30 + -13p = -35 Add '-30' to each side of the equation. 30 + -30 + -13p = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -13p = -35 + -30 -13p = -35 + -30 Combine like terms: -35 + -30 = -65 -13p = -65 Divide each side by '-13'. p = 5 Simplifying p = 5
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