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Simplifying -4(-7p + 1) + 5(8 + 2p) = -2 Reorder the terms: -4(1 + -7p) + 5(8 + 2p) = -2 (1 * -4 + -7p * -4) + 5(8 + 2p) = -2 (-4 + 28p) + 5(8 + 2p) = -2 -4 + 28p + (8 * 5 + 2p * 5) = -2 -4 + 28p + (40 + 10p) = -2 Reorder the terms: -4 + 40 + 28p + 10p = -2 Combine like terms: -4 + 40 = 36 36 + 28p + 10p = -2 Combine like terms: 28p + 10p = 38p 36 + 38p = -2 Solving 36 + 38p = -2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 38p = -2 + -36 Combine like terms: 36 + -36 = 0 0 + 38p = -2 + -36 38p = -2 + -36 Combine like terms: -2 + -36 = -38 38p = -38 Divide each side by '38'. p = -1 Simplifying p = -1
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