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Simplifying 4(a + -2) + 5(2a + -3) = 0 Reorder the terms: 4(-2 + a) + 5(2a + -3) = 0 (-2 * 4 + a * 4) + 5(2a + -3) = 0 (-8 + 4a) + 5(2a + -3) = 0 Reorder the terms: -8 + 4a + 5(-3 + 2a) = 0 -8 + 4a + (-3 * 5 + 2a * 5) = 0 -8 + 4a + (-15 + 10a) = 0 Reorder the terms: -8 + -15 + 4a + 10a = 0 Combine like terms: -8 + -15 = -23 -23 + 4a + 10a = 0 Combine like terms: 4a + 10a = 14a -23 + 14a = 0 Solving -23 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 14a = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 14a = 0 + 23 14a = 0 + 23 Combine like terms: 0 + 23 = 23 14a = 23 Divide each side by '14'. a = 1.642857143 Simplifying a = 1.642857143
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