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Simplifying -3p + 7 = 6 + -1(7p + 4) Reorder the terms: 7 + -3p = 6 + -1(7p + 4) Reorder the terms: 7 + -3p = 6 + -1(4 + 7p) 7 + -3p = 6 + (4 * -1 + 7p * -1) 7 + -3p = 6 + (-4 + -7p) Combine like terms: 6 + -4 = 2 7 + -3p = 2 + -7p Solving 7 + -3p = 2 + -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. 7 + -3p + 7p = 2 + -7p + 7p Combine like terms: -3p + 7p = 4p 7 + 4p = 2 + -7p + 7p Combine like terms: -7p + 7p = 0 7 + 4p = 2 + 0 7 + 4p = 2 Add '-7' to each side of the equation. 7 + -7 + 4p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = 2 + -7 4p = 2 + -7 Combine like terms: 2 + -7 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25
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