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Simplifying 4 + -2p + 7 = 5 + -1(6p + 3) Reorder the terms: 4 + 7 + -2p = 5 + -1(6p + 3) Combine like terms: 4 + 7 = 11 11 + -2p = 5 + -1(6p + 3) Reorder the terms: 11 + -2p = 5 + -1(3 + 6p) 11 + -2p = 5 + (3 * -1 + 6p * -1) 11 + -2p = 5 + (-3 + -6p) Combine like terms: 5 + -3 = 2 11 + -2p = 2 + -6p Solving 11 + -2p = 2 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 11 + -2p + 6p = 2 + -6p + 6p Combine like terms: -2p + 6p = 4p 11 + 4p = 2 + -6p + 6p Combine like terms: -6p + 6p = 0 11 + 4p = 2 + 0 11 + 4p = 2 Add '-11' to each side of the equation. 11 + -11 + 4p = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 4p = 2 + -11 4p = 2 + -11 Combine like terms: 2 + -11 = -9 4p = -9 Divide each side by '4'. p = -2.25 Simplifying p = -2.25
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