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Simplifying 3(a + -5) + 4a + -6 = 0 Reorder the terms: 3(-5 + a) + 4a + -6 = 0 (-5 * 3 + a * 3) + 4a + -6 = 0 (-15 + 3a) + 4a + -6 = 0 Reorder the terms: -15 + -6 + 3a + 4a = 0 Combine like terms: -15 + -6 = -21 -21 + 3a + 4a = 0 Combine like terms: 3a + 4a = 7a -21 + 7a = 0 Solving -21 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7a = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7a = 0 + 21 7a = 0 + 21 Combine like terms: 0 + 21 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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