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Simplifying 2(1 + 5p) + 6 = -4 + 4p (1 * 2 + 5p * 2) + 6 = -4 + 4p (2 + 10p) + 6 = -4 + 4p Reorder the terms: 2 + 6 + 10p = -4 + 4p Combine like terms: 2 + 6 = 8 8 + 10p = -4 + 4p Solving 8 + 10p = -4 + 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. 8 + 10p + -4p = -4 + 4p + -4p Combine like terms: 10p + -4p = 6p 8 + 6p = -4 + 4p + -4p Combine like terms: 4p + -4p = 0 8 + 6p = -4 + 0 8 + 6p = -4 Add '-8' to each side of the equation. 8 + -8 + 6p = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 6p = -4 + -8 6p = -4 + -8 Combine like terms: -4 + -8 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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