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Simplifying -7p + 4(6p + -7) = -13 + 2p Reorder the terms: -7p + 4(-7 + 6p) = -13 + 2p -7p + (-7 * 4 + 6p * 4) = -13 + 2p -7p + (-28 + 24p) = -13 + 2p Reorder the terms: -28 + -7p + 24p = -13 + 2p Combine like terms: -7p + 24p = 17p -28 + 17p = -13 + 2p Solving -28 + 17p = -13 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -28 + 17p + -2p = -13 + 2p + -2p Combine like terms: 17p + -2p = 15p -28 + 15p = -13 + 2p + -2p Combine like terms: 2p + -2p = 0 -28 + 15p = -13 + 0 -28 + 15p = -13 Add '28' to each side of the equation. -28 + 28 + 15p = -13 + 28 Combine like terms: -28 + 28 = 0 0 + 15p = -13 + 28 15p = -13 + 28 Combine like terms: -13 + 28 = 15 15p = 15 Divide each side by '15'. p = 1 Simplifying p = 1
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