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Simplifying 2(3a + -4) + 3(a + -5) = -7 Reorder the terms: 2(-4 + 3a) + 3(a + -5) = -7 (-4 * 2 + 3a * 2) + 3(a + -5) = -7 (-8 + 6a) + 3(a + -5) = -7 Reorder the terms: -8 + 6a + 3(-5 + a) = -7 -8 + 6a + (-5 * 3 + a * 3) = -7 -8 + 6a + (-15 + 3a) = -7 Reorder the terms: -8 + -15 + 6a + 3a = -7 Combine like terms: -8 + -15 = -23 -23 + 6a + 3a = -7 Combine like terms: 6a + 3a = 9a -23 + 9a = -7 Solving -23 + 9a = -7 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 + 9a = -7 + 23 Combine like terms: -23 + 23 = 0 0 + 9a = -7 + 23 9a = -7 + 23 Combine like terms: -7 + 23 = 16 9a = 16 Divide each side by '9'. a = 1.777777778 Simplifying a = 1.777777778
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