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Simplifying 7a + -1(3a + 4) = -2(2a + -1) + 10 Reorder the terms: 7a + -1(4 + 3a) = -2(2a + -1) + 10 7a + (4 * -1 + 3a * -1) = -2(2a + -1) + 10 7a + (-4 + -3a) = -2(2a + -1) + 10 Reorder the terms: -4 + 7a + -3a = -2(2a + -1) + 10 Combine like terms: 7a + -3a = 4a -4 + 4a = -2(2a + -1) + 10 Reorder the terms: -4 + 4a = -2(-1 + 2a) + 10 -4 + 4a = (-1 * -2 + 2a * -2) + 10 -4 + 4a = (2 + -4a) + 10 Reorder the terms: -4 + 4a = 2 + 10 + -4a Combine like terms: 2 + 10 = 12 -4 + 4a = 12 + -4a Solving -4 + 4a = 12 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -4 + 4a + 4a = 12 + -4a + 4a Combine like terms: 4a + 4a = 8a -4 + 8a = 12 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 8a = 12 + 0 -4 + 8a = 12 Add '4' to each side of the equation. -4 + 4 + 8a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8a = 12 + 4 8a = 12 + 4 Combine like terms: 12 + 4 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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