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Simplifying 5(a + -2) + -3(4a + -5) = 0 Reorder the terms: 5(-2 + a) + -3(4a + -5) = 0 (-2 * 5 + a * 5) + -3(4a + -5) = 0 (-10 + 5a) + -3(4a + -5) = 0 Reorder the terms: -10 + 5a + -3(-5 + 4a) = 0 -10 + 5a + (-5 * -3 + 4a * -3) = 0 -10 + 5a + (15 + -12a) = 0 Reorder the terms: -10 + 15 + 5a + -12a = 0 Combine like terms: -10 + 15 = 5 5 + 5a + -12a = 0 Combine like terms: 5a + -12a = -7a 5 + -7a = 0 Solving 5 + -7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 0 + -5 -7a = 0 + -5 Combine like terms: 0 + -5 = -5 -7a = -5 Divide each side by '-7'. a = 0.7142857143 Simplifying a = 0.7142857143
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