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Simplifying 7p + -1(3p + 4) = -2(2a + -1) + 10 Reorder the terms: 7p + -1(4 + 3p) = -2(2a + -1) + 10 7p + (4 * -1 + 3p * -1) = -2(2a + -1) + 10 7p + (-4 + -3p) = -2(2a + -1) + 10 Reorder the terms: -4 + 7p + -3p = -2(2a + -1) + 10 Combine like terms: 7p + -3p = 4p -4 + 4p = -2(2a + -1) + 10 Reorder the terms: -4 + 4p = -2(-1 + 2a) + 10 -4 + 4p = (-1 * -2 + 2a * -2) + 10 -4 + 4p = (2 + -4a) + 10 Reorder the terms: -4 + 4p = 2 + 10 + -4a Combine like terms: 2 + 10 = 12 -4 + 4p = 12 + -4a Solving -4 + 4p = 12 + -4a Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4p = 12 + 4 + -4a Combine like terms: -4 + 4 = 0 0 + 4p = 12 + 4 + -4a 4p = 12 + 4 + -4a Combine like terms: 12 + 4 = 16 4p = 16 + -4a Divide each side by '4'. p = 4 + -1a Simplifying p = 4 + -1a
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