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Simplifying -6p + 7 = 6p + -9 + -40 + 16p Reorder the terms: 7 + -6p = 6p + -9 + -40 + 16p Reorder the terms: 7 + -6p = -9 + -40 + 6p + 16p Combine like terms: -9 + -40 = -49 7 + -6p = -49 + 6p + 16p Combine like terms: 6p + 16p = 22p 7 + -6p = -49 + 22p Solving 7 + -6p = -49 + 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. 7 + -6p + -22p = -49 + 22p + -22p Combine like terms: -6p + -22p = -28p 7 + -28p = -49 + 22p + -22p Combine like terms: 22p + -22p = 0 7 + -28p = -49 + 0 7 + -28p = -49 Add '-7' to each side of the equation. 7 + -7 + -28p = -49 + -7 Combine like terms: 7 + -7 = 0 0 + -28p = -49 + -7 -28p = -49 + -7 Combine like terms: -49 + -7 = -56 -28p = -56 Divide each side by '-28'. p = 2 Simplifying p = 2
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