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Simplifying 230 = 6p + -8(1 + 5p) 230 = 6p + (1 * -8 + 5p * -8) 230 = 6p + (-8 + -40p) Reorder the terms: 230 = -8 + 6p + -40p Combine like terms: 6p + -40p = -34p 230 = -8 + -34p Solving 230 = -8 + -34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34p' to each side of the equation. 230 + 34p = -8 + -34p + 34p Combine like terms: -34p + 34p = 0 230 + 34p = -8 + 0 230 + 34p = -8 Add '-230' to each side of the equation. 230 + -230 + 34p = -8 + -230 Combine like terms: 230 + -230 = 0 0 + 34p = -8 + -230 34p = -8 + -230 Combine like terms: -8 + -230 = -238 34p = -238 Divide each side by '34'. p = -7 Simplifying p = -7
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