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Simplifying 3a + 2(a + -1) = 7a + -4(a + 2) Reorder the terms: 3a + 2(-1 + a) = 7a + -4(a + 2) 3a + (-1 * 2 + a * 2) = 7a + -4(a + 2) 3a + (-2 + 2a) = 7a + -4(a + 2) Reorder the terms: -2 + 3a + 2a = 7a + -4(a + 2) Combine like terms: 3a + 2a = 5a -2 + 5a = 7a + -4(a + 2) Reorder the terms: -2 + 5a = 7a + -4(2 + a) -2 + 5a = 7a + (2 * -4 + a * -4) -2 + 5a = 7a + (-8 + -4a) Reorder the terms: -2 + 5a = -8 + 7a + -4a Combine like terms: 7a + -4a = 3a -2 + 5a = -8 + 3a Solving -2 + 5a = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 5a + -3a = -8 + 3a + -3a Combine like terms: 5a + -3a = 2a -2 + 2a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + 2a = -8 + 0 -2 + 2a = -8 Add '2' to each side of the equation. -2 + 2 + 2a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = -8 + 2 2a = -8 + 2 Combine like terms: -8 + 2 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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