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Simplifying 3p + 7 = -1(p + -4) Reorder the terms: 7 + 3p = -1(p + -4) Reorder the terms: 7 + 3p = -1(-4 + p) 7 + 3p = (-4 * -1 + p * -1) 7 + 3p = (4 + -1p) Solving 7 + 3p = 4 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 7 + 3p + p = 4 + -1p + p Combine like terms: 3p + p = 4p 7 + 4p = 4 + -1p + p Combine like terms: -1p + p = 0 7 + 4p = 4 + 0 7 + 4p = 4 Add '-7' to each side of the equation. 7 + -7 + 4p = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = 4 + -7 4p = 4 + -7 Combine like terms: 4 + -7 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75
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