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Simplifying 6(a + -4) = -3(a + -34) Reorder the terms: 6(-4 + a) = -3(a + -34) (-4 * 6 + a * 6) = -3(a + -34) (-24 + 6a) = -3(a + -34) Reorder the terms: -24 + 6a = -3(-34 + a) -24 + 6a = (-34 * -3 + a * -3) -24 + 6a = (102 + -3a) Solving -24 + 6a = 102 + -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. -24 + 6a + 3a = 102 + -3a + 3a Combine like terms: 6a + 3a = 9a -24 + 9a = 102 + -3a + 3a Combine like terms: -3a + 3a = 0 -24 + 9a = 102 + 0 -24 + 9a = 102 Add '24' to each side of the equation. -24 + 24 + 9a = 102 + 24 Combine like terms: -24 + 24 = 0 0 + 9a = 102 + 24 9a = 102 + 24 Combine like terms: 102 + 24 = 126 9a = 126 Divide each side by '9'. a = 14 Simplifying a = 14
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