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Simplifying -7(6 + 2p) + 2 = 9 + -7p (6 * -7 + 2p * -7) + 2 = 9 + -7p (-42 + -14p) + 2 = 9 + -7p Reorder the terms: -42 + 2 + -14p = 9 + -7p Combine like terms: -42 + 2 = -40 -40 + -14p = 9 + -7p Solving -40 + -14p = 9 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -40 + -14p + 7p = 9 + -7p + 7p Combine like terms: -14p + 7p = -7p -40 + -7p = 9 + -7p + 7p Combine like terms: -7p + 7p = 0 -40 + -7p = 9 + 0 -40 + -7p = 9 Add '40' to each side of the equation. -40 + 40 + -7p = 9 + 40 Combine like terms: -40 + 40 = 0 0 + -7p = 9 + 40 -7p = 9 + 40 Combine like terms: 9 + 40 = 49 -7p = 49 Divide each side by '-7'. p = -7 Simplifying p = -7
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