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Simplifying 1 + -4p = -2(5p + -1) + 5 Reorder the terms: 1 + -4p = -2(-1 + 5p) + 5 1 + -4p = (-1 * -2 + 5p * -2) + 5 1 + -4p = (2 + -10p) + 5 Reorder the terms: 1 + -4p = 2 + 5 + -10p Combine like terms: 2 + 5 = 7 1 + -4p = 7 + -10p Solving 1 + -4p = 7 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 1 + -4p + 10p = 7 + -10p + 10p Combine like terms: -4p + 10p = 6p 1 + 6p = 7 + -10p + 10p Combine like terms: -10p + 10p = 0 1 + 6p = 7 + 0 1 + 6p = 7 Add '-1' to each side of the equation. 1 + -1 + 6p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 7 + -1 6p = 7 + -1 Combine like terms: 7 + -1 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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