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Simplifying 2(4a + -6) + 2 = 10 + 4a Reorder the terms: 2(-6 + 4a) + 2 = 10 + 4a (-6 * 2 + 4a * 2) + 2 = 10 + 4a (-12 + 8a) + 2 = 10 + 4a Reorder the terms: -12 + 2 + 8a = 10 + 4a Combine like terms: -12 + 2 = -10 -10 + 8a = 10 + 4a Solving -10 + 8a = 10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -10 + 8a + -4a = 10 + 4a + -4a Combine like terms: 8a + -4a = 4a -10 + 4a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + 4a = 10 + 0 -10 + 4a = 10 Add '10' to each side of the equation. -10 + 10 + 4a = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = 10 + 10 4a = 10 + 10 Combine like terms: 10 + 10 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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