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Simplifying 7(2p + -1) = 10 + -3p Reorder the terms: 7(-1 + 2p) = 10 + -3p (-1 * 7 + 2p * 7) = 10 + -3p (-7 + 14p) = 10 + -3p Solving -7 + 14p = 10 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -7 + 14p + 3p = 10 + -3p + 3p Combine like terms: 14p + 3p = 17p -7 + 17p = 10 + -3p + 3p Combine like terms: -3p + 3p = 0 -7 + 17p = 10 + 0 -7 + 17p = 10 Add '7' to each side of the equation. -7 + 7 + 17p = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 17p = 10 + 7 17p = 10 + 7 Combine like terms: 10 + 7 = 17 17p = 17 Divide each side by '17'. p = 1 Simplifying p = 1
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