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Simplifying a + 4 = 2(2a + -5) Reorder the terms: 4 + a = 2(2a + -5) Reorder the terms: 4 + a = 2(-5 + 2a) 4 + a = (-5 * 2 + 2a * 2) 4 + a = (-10 + 4a) Solving 4 + a = -10 + 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 + a + -4a = -10 + 4a + -4a Combine like terms: a + -4a = -3a 4 + -3a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + -3a = -10 + 0 4 + -3a = -10 Add '-4' to each side of the equation. 4 + -4 + -3a = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = -10 + -4 -3a = -10 + -4 Combine like terms: -10 + -4 = -14 -3a = -14 Divide each side by '-3'. a = 4.666666667 Simplifying a = 4.666666667
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