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Simplifying 4 + -2(a + -3) = -2 + -1(4a + 2) Reorder the terms: 4 + -2(-3 + a) = -2 + -1(4a + 2) 4 + (-3 * -2 + a * -2) = -2 + -1(4a + 2) 4 + (6 + -2a) = -2 + -1(4a + 2) Combine like terms: 4 + 6 = 10 10 + -2a = -2 + -1(4a + 2) Reorder the terms: 10 + -2a = -2 + -1(2 + 4a) 10 + -2a = -2 + (2 * -1 + 4a * -1) 10 + -2a = -2 + (-2 + -4a) Combine like terms: -2 + -2 = -4 10 + -2a = -4 + -4a Solving 10 + -2a = -4 + -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. 10 + -2a + 4a = -4 + -4a + 4a Combine like terms: -2a + 4a = 2a 10 + 2a = -4 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 2a = -4 + 0 10 + 2a = -4 Add '-10' to each side of the equation. 10 + -10 + 2a = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = -4 + -10 2a = -4 + -10 Combine like terms: -4 + -10 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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