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Simplifying 6a + -4(3a + 5) = -3a + -2 Reorder the terms: 6a + -4(5 + 3a) = -3a + -2 6a + (5 * -4 + 3a * -4) = -3a + -2 6a + (-20 + -12a) = -3a + -2 Reorder the terms: -20 + 6a + -12a = -3a + -2 Combine like terms: 6a + -12a = -6a -20 + -6a = -3a + -2 Reorder the terms: -20 + -6a = -2 + -3a Solving -20 + -6a = -2 + -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 + -6a + 3a = -2 + -3a + 3a Combine like terms: -6a + 3a = -3a -20 + -3a = -2 + -3a + 3a Combine like terms: -3a + 3a = 0 -20 + -3a = -2 + 0 -20 + -3a = -2 Add '20' to each side of the equation. -20 + 20 + -3a = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -3a = -2 + 20 -3a = -2 + 20 Combine like terms: -2 + 20 = 18 -3a = 18 Divide each side by '-3'. a = -6 Simplifying a = -6
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