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Simplifying 7 + -4a = 5(a + -4) Reorder the terms: 7 + -4a = 5(-4 + a) 7 + -4a = (-4 * 5 + a * 5) 7 + -4a = (-20 + 5a) Solving 7 + -4a = -20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 7 + -4a + -5a = -20 + 5a + -5a Combine like terms: -4a + -5a = -9a 7 + -9a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -9a = -20 + 0 7 + -9a = -20 Add '-7' to each side of the equation. 7 + -7 + -9a = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -9a = -20 + -7 -9a = -20 + -7 Combine like terms: -20 + -7 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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