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Simplifying 18 + -4(p + -4) = 5p + -2 Reorder the terms: 18 + -4(-4 + p) = 5p + -2 18 + (-4 * -4 + p * -4) = 5p + -2 18 + (16 + -4p) = 5p + -2 Combine like terms: 18 + 16 = 34 34 + -4p = 5p + -2 Reorder the terms: 34 + -4p = -2 + 5p Solving 34 + -4p = -2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 34 + -4p + -5p = -2 + 5p + -5p Combine like terms: -4p + -5p = -9p 34 + -9p = -2 + 5p + -5p Combine like terms: 5p + -5p = 0 34 + -9p = -2 + 0 34 + -9p = -2 Add '-34' to each side of the equation. 34 + -34 + -9p = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9p = -2 + -34 -9p = -2 + -34 Combine like terms: -2 + -34 = -36 -9p = -36 Divide each side by '-9'. p = 4 Simplifying p = 4
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