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Simplifying 6(a + 2) = 10a + 2 Reorder the terms: 6(2 + a) = 10a + 2 (2 * 6 + a * 6) = 10a + 2 (12 + 6a) = 10a + 2 Reorder the terms: 12 + 6a = 2 + 10a Solving 12 + 6a = 2 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 12 + 6a + -10a = 2 + 10a + -10a Combine like terms: 6a + -10a = -4a 12 + -4a = 2 + 10a + -10a Combine like terms: 10a + -10a = 0 12 + -4a = 2 + 0 12 + -4a = 2 Add '-12' to each side of the equation. 12 + -12 + -4a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 2 + -12 -4a = 2 + -12 Combine like terms: 2 + -12 = -10 -4a = -10 Divide each side by '-4'. a = 2.5 Simplifying a = 2.5
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