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Simplifying 6(a + -4) = 3(a + 10) Reorder the terms: 6(-4 + a) = 3(a + 10) (-4 * 6 + a * 6) = 3(a + 10) (-24 + 6a) = 3(a + 10) Reorder the terms: -24 + 6a = 3(10 + a) -24 + 6a = (10 * 3 + a * 3) -24 + 6a = (30 + 3a) Solving -24 + 6a = 30 + 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 = 30 + 3a + -3a Combine like terms: 6a + -3a = 3a -24 + 3a = 30 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 3a = 30 + 0 -24 + 3a = 30 Add '24' to each side of the equation. -24 + 24 + 3a = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = 30 + 24 3a = 30 + 24 Combine like terms: 30 + 24 = 54 3a = 54 Divide each side by '3'. a = 18 Simplifying a = 18
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