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Simplifying -1(p + -7) + -1 = -4(p + -3) Reorder the terms: -1(-7 + p) + -1 = -4(p + -3) (-7 * -1 + p * -1) + -1 = -4(p + -3) (7 + -1p) + -1 = -4(p + -3) Reorder the terms: 7 + -1 + -1p = -4(p + -3) Combine like terms: 7 + -1 = 6 6 + -1p = -4(p + -3) Reorder the terms: 6 + -1p = -4(-3 + p) 6 + -1p = (-3 * -4 + p * -4) 6 + -1p = (12 + -4p) Solving 6 + -1p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 6 + -1p + 4p = 12 + -4p + 4p Combine like terms: -1p + 4p = 3p 6 + 3p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 6 + 3p = 12 + 0 6 + 3p = 12 Add '-6' to each side of the equation. 6 + -6 + 3p = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3p = 12 + -6 3p = 12 + -6 Combine like terms: 12 + -6 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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