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Simplifying 7 + -2p = 3p + -6(p + -1) Reorder the terms: 7 + -2p = 3p + -6(-1 + p) 7 + -2p = 3p + (-1 * -6 + p * -6) 7 + -2p = 3p + (6 + -6p) Reorder the terms: 7 + -2p = 6 + 3p + -6p Combine like terms: 3p + -6p = -3p 7 + -2p = 6 + -3p Solving 7 + -2p = 6 + -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 + -2p + 3p = 6 + -3p + 3p Combine like terms: -2p + 3p = 1p 7 + 1p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 7 + 1p = 6 + 0 7 + 1p = 6 Add '-7' to each side of the equation. 7 + -7 + 1p = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 6 + -7 1p = 6 + -7 Combine like terms: 6 + -7 = -1 1p = -1 Divide each side by '1'. p = -1 Simplifying p = -1
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