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Simplifying 3(2a + 4) = 28a + -14a + 6 Reorder the terms: 3(4 + 2a) = 28a + -14a + 6 (4 * 3 + 2a * 3) = 28a + -14a + 6 (12 + 6a) = 28a + -14a + 6 Reorder the terms: 12 + 6a = 6 + 28a + -14a Combine like terms: 28a + -14a = 14a 12 + 6a = 6 + 14a Solving 12 + 6a = 6 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 12 + 6a + -14a = 6 + 14a + -14a Combine like terms: 6a + -14a = -8a 12 + -8a = 6 + 14a + -14a Combine like terms: 14a + -14a = 0 12 + -8a = 6 + 0 12 + -8a = 6 Add '-12' to each side of the equation. 12 + -12 + -8a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -8a = 6 + -12 -8a = 6 + -12 Combine like terms: 6 + -12 = -6 -8a = -6 Divide each side by '-8'. a = 0.75 Simplifying a = 0.75
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