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Simplifying 7x + -1(3p + 4) = -2(2p + -1) + 10 Reorder the terms: 7x + -1(4 + 3p) = -2(2p + -1) + 10 7x + (4 * -1 + 3p * -1) = -2(2p + -1) + 10 7x + (-4 + -3p) = -2(2p + -1) + 10 Reorder the terms: -4 + -3p + 7x = -2(2p + -1) + 10 Reorder the terms: -4 + -3p + 7x = -2(-1 + 2p) + 10 -4 + -3p + 7x = (-1 * -2 + 2p * -2) + 10 -4 + -3p + 7x = (2 + -4p) + 10 Reorder the terms: -4 + -3p + 7x = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -4 + -3p + 7x = 12 + -4p Solving -4 + -3p + 7x = 12 + -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. -4 + -3p + 4p + 7x = 12 + -4p + 4p Combine like terms: -3p + 4p = 1p -4 + 1p + 7x = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -4 + 1p + 7x = 12 + 0 -4 + 1p + 7x = 12 Add '4' to each side of the equation. -4 + 1p + 4 + 7x = 12 + 4 Reorder the terms: -4 + 4 + 1p + 7x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 1p + 7x = 12 + 4 1p + 7x = 12 + 4 Combine like terms: 12 + 4 = 16 1p + 7x = 16 Add '-7x' to each side of the equation. 1p + 7x + -7x = 16 + -7x Combine like terms: 7x + -7x = 0 1p + 0 = 16 + -7x 1p = 16 + -7x Divide each side by '1'. p = 16 + -7x Simplifying p = 16 + -7x
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