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Simplifying -4(-7x + 1) + 5(8 + 2p) = -2 Reorder the terms: -4(1 + -7x) + 5(8 + 2p) = -2 (1 * -4 + -7x * -4) + 5(8 + 2p) = -2 (-4 + 28x) + 5(8 + 2p) = -2 -4 + 28x + (8 * 5 + 2p * 5) = -2 -4 + 28x + (40 + 10p) = -2 Reorder the terms: -4 + 40 + 10p + 28x = -2 Combine like terms: -4 + 40 = 36 36 + 10p + 28x = -2 Solving 36 + 10p + 28x = -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 + 10p + -36 + 28x = -2 + -36 Reorder the terms: 36 + -36 + 10p + 28x = -2 + -36 Combine like terms: 36 + -36 = 0 0 + 10p + 28x = -2 + -36 10p + 28x = -2 + -36 Combine like terms: -2 + -36 = -38 10p + 28x = -38 Add '-28x' to each side of the equation. 10p + 28x + -28x = -38 + -28x Combine like terms: 28x + -28x = 0 10p + 0 = -38 + -28x 10p = -38 + -28x Divide each side by '10'. p = -3.8 + -2.8x Simplifying p = -3.8 + -2.8x
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