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Simplifying 4a + -2(3a + -5) = 3(a + -2) + -4 Reorder the terms: 4a + -2(-5 + 3a) = 3(a + -2) + -4 4a + (-5 * -2 + 3a * -2) = 3(a + -2) + -4 4a + (10 + -6a) = 3(a + -2) + -4 Reorder the terms: 10 + 4a + -6a = 3(a + -2) + -4 Combine like terms: 4a + -6a = -2a 10 + -2a = 3(a + -2) + -4 Reorder the terms: 10 + -2a = 3(-2 + a) + -4 10 + -2a = (-2 * 3 + a * 3) + -4 10 + -2a = (-6 + 3a) + -4 Reorder the terms: 10 + -2a = -6 + -4 + 3a Combine like terms: -6 + -4 = -10 10 + -2a = -10 + 3a Solving 10 + -2a = -10 + 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. 10 + -2a + -3a = -10 + 3a + -3a Combine like terms: -2a + -3a = -5a 10 + -5a = -10 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -5a = -10 + 0 10 + -5a = -10 Add '-10' to each side of the equation. 10 + -10 + -5a = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5a = -10 + -10 -5a = -10 + -10 Combine like terms: -10 + -10 = -20 -5a = -20 Divide each side by '-5'. a = 4 Simplifying a = 4
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