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Simplifying -10(3 + 7p) = 45 + 5p (3 * -10 + 7p * -10) = 45 + 5p (-30 + -70p) = 45 + 5p Solving -30 + -70p = 45 + 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 + -70p + -5p = 45 + 5p + -5p Combine like terms: -70p + -5p = -75p -30 + -75p = 45 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + -75p = 45 + 0 -30 + -75p = 45 Add '30' to each side of the equation. -30 + 30 + -75p = 45 + 30 Combine like terms: -30 + 30 = 0 0 + -75p = 45 + 30 -75p = 45 + 30 Combine like terms: 45 + 30 = 75 -75p = 75 Divide each side by '-75'. p = -1 Simplifying p = -1
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