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Simplifying a + 3 + -4a = 2(a + -5) Reorder the terms: 3 + a + -4a = 2(a + -5) Combine like terms: a + -4a = -3a 3 + -3a = 2(a + -5) Reorder the terms: 3 + -3a = 2(-5 + a) 3 + -3a = (-5 * 2 + a * 2) 3 + -3a = (-10 + 2a) Solving 3 + -3a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3 + -3a + -2a = -10 + 2a + -2a Combine like terms: -3a + -2a = -5a 3 + -5a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -5a = -10 + 0 3 + -5a = -10 Add '-3' to each side of the equation. 3 + -3 + -5a = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = -10 + -3 -5a = -10 + -3 Combine like terms: -10 + -3 = -13 -5a = -13 Divide each side by '-5'. a = 2.6 Simplifying a = 2.6
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