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Simplifying 2(2a + -5) + -1(a + -3) = 0 Reorder the terms: 2(-5 + 2a) + -1(a + -3) = 0 (-5 * 2 + 2a * 2) + -1(a + -3) = 0 (-10 + 4a) + -1(a + -3) = 0 Reorder the terms: -10 + 4a + -1(-3 + a) = 0 -10 + 4a + (-3 * -1 + a * -1) = 0 -10 + 4a + (3 + -1a) = 0 Reorder the terms: -10 + 3 + 4a + -1a = 0 Combine like terms: -10 + 3 = -7 -7 + 4a + -1a = 0 Combine like terms: 4a + -1a = 3a -7 + 3a = 0 Solving -7 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 0 + 7 3a = 0 + 7 Combine like terms: 0 + 7 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333
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