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Simplifying 5(2p + 8) = -6p + -2(1 + -5p) Reorder the terms: 5(8 + 2p) = -6p + -2(1 + -5p) (8 * 5 + 2p * 5) = -6p + -2(1 + -5p) (40 + 10p) = -6p + -2(1 + -5p) 40 + 10p = -6p + (1 * -2 + -5p * -2) 40 + 10p = -6p + (-2 + 10p) Reorder the terms: 40 + 10p = -2 + -6p + 10p Combine like terms: -6p + 10p = 4p 40 + 10p = -2 + 4p Solving 40 + 10p = -2 + 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. 40 + 10p + -4p = -2 + 4p + -4p Combine like terms: 10p + -4p = 6p 40 + 6p = -2 + 4p + -4p Combine like terms: 4p + -4p = 0 40 + 6p = -2 + 0 40 + 6p = -2 Add '-40' to each side of the equation. 40 + -40 + 6p = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 6p = -2 + -40 6p = -2 + -40 Combine like terms: -2 + -40 = -42 6p = -42 Divide each side by '6'. p = -7 Simplifying p = -7
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