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Simplifying 10a + -2(3a + 6) = a Reorder the terms: 10a + -2(6 + 3a) = a 10a + (6 * -2 + 3a * -2) = a 10a + (-12 + -6a) = a Reorder the terms: -12 + 10a + -6a = a Combine like terms: 10a + -6a = 4a -12 + 4a = a Solving -12 + 4a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 4a + -1a = a + -1a Combine like terms: 4a + -1a = 3a -12 + 3a = a + -1a Combine like terms: a + -1a = 0 -12 + 3a = 0 Add '12' to each side of the equation. -12 + 12 + 3a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 0 + 12 3a = 0 + 12 Combine like terms: 0 + 12 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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