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Simplifying 3(a + -10) + 2(a + -22) = 6 Reorder the terms: 3(-10 + a) + 2(a + -22) = 6 (-10 * 3 + a * 3) + 2(a + -22) = 6 (-30 + 3a) + 2(a + -22) = 6 Reorder the terms: -30 + 3a + 2(-22 + a) = 6 -30 + 3a + (-22 * 2 + a * 2) = 6 -30 + 3a + (-44 + 2a) = 6 Reorder the terms: -30 + -44 + 3a + 2a = 6 Combine like terms: -30 + -44 = -74 -74 + 3a + 2a = 6 Combine like terms: 3a + 2a = 5a -74 + 5a = 6 Solving -74 + 5a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 5a = 6 + 74 Combine like terms: -74 + 74 = 0 0 + 5a = 6 + 74 5a = 6 + 74 Combine like terms: 6 + 74 = 80 5a = 80 Divide each side by '5'. a = 16 Simplifying a = 16
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