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Simplifying 9 + 7p = -5p + 7(7p + -4) Reorder the terms: 9 + 7p = -5p + 7(-4 + 7p) 9 + 7p = -5p + (-4 * 7 + 7p * 7) 9 + 7p = -5p + (-28 + 49p) Reorder the terms: 9 + 7p = -28 + -5p + 49p Combine like terms: -5p + 49p = 44p 9 + 7p = -28 + 44p Solving 9 + 7p = -28 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. 9 + 7p + -44p = -28 + 44p + -44p Combine like terms: 7p + -44p = -37p 9 + -37p = -28 + 44p + -44p Combine like terms: 44p + -44p = 0 9 + -37p = -28 + 0 9 + -37p = -28 Add '-9' to each side of the equation. 9 + -9 + -37p = -28 + -9 Combine like terms: 9 + -9 = 0 0 + -37p = -28 + -9 -37p = -28 + -9 Combine like terms: -28 + -9 = -37 -37p = -37 Divide each side by '-37'. p = 1 Simplifying p = 1
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