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