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Simplifying 6a + 4(a + -5) = 3a + -6 Reorder the terms: 6a + 4(-5 + a) = 3a + -6 6a + (-5 * 4 + a * 4) = 3a + -6 6a + (-20 + 4a) = 3a + -6 Reorder the terms: -20 + 6a + 4a = 3a + -6 Combine like terms: 6a + 4a = 10a -20 + 10a = 3a + -6 Reorder the terms: -20 + 10a = -6 + 3a Solving -20 + 10a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 10a + -3a = -6 + 3a + -3a Combine like terms: 10a + -3a = 7a -20 + 7a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 7a = -6 + 0 -20 + 7a = -6 Add '20' to each side of the equation. -20 + 20 + 7a = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 7a = -6 + 20 7a = -6 + 20 Combine like terms: -6 + 20 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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