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Simplifying 8 + -1(p + -4) = 3p + 13 Reorder the terms: 8 + -1(-4 + p) = 3p + 13 8 + (-4 * -1 + p * -1) = 3p + 13 8 + (4 + -1p) = 3p + 13 Combine like terms: 8 + 4 = 12 12 + -1p = 3p + 13 Reorder the terms: 12 + -1p = 13 + 3p Solving 12 + -1p = 13 + 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. 12 + -1p + -3p = 13 + 3p + -3p Combine like terms: -1p + -3p = -4p 12 + -4p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + -4p = 13 + 0 12 + -4p = 13 Add '-12' to each side of the equation. 12 + -12 + -4p = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = 13 + -12 -4p = 13 + -12 Combine like terms: 13 + -12 = 1 -4p = 1 Divide each side by '-4'. p = -0.25 Simplifying p = -0.25
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