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Simplifying 5p + 7 = 5(p + 9) + -1(2 + 4p) Reorder the terms: 7 + 5p = 5(p + 9) + -1(2 + 4p) Reorder the terms: 7 + 5p = 5(9 + p) + -1(2 + 4p) 7 + 5p = (9 * 5 + p * 5) + -1(2 + 4p) 7 + 5p = (45 + 5p) + -1(2 + 4p) 7 + 5p = 45 + 5p + (2 * -1 + 4p * -1) 7 + 5p = 45 + 5p + (-2 + -4p) Reorder the terms: 7 + 5p = 45 + -2 + 5p + -4p Combine like terms: 45 + -2 = 43 7 + 5p = 43 + 5p + -4p Combine like terms: 5p + -4p = 1p 7 + 5p = 43 + 1p Solving 7 + 5p = 43 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 7 + 5p + -1p = 43 + 1p + -1p Combine like terms: 5p + -1p = 4p 7 + 4p = 43 + 1p + -1p Combine like terms: 1p + -1p = 0 7 + 4p = 43 + 0 7 + 4p = 43 Add '-7' to each side of the equation. 7 + -7 + 4p = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = 43 + -7 4p = 43 + -7 Combine like terms: 43 + -7 = 36 4p = 36 Divide each side by '4'. p = 9 Simplifying p = 9
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