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Simplifying 7(2a + 4) = 6(4a + -2) Reorder the terms: 7(4 + 2a) = 6(4a + -2) (4 * 7 + 2a * 7) = 6(4a + -2) (28 + 14a) = 6(4a + -2) Reorder the terms: 28 + 14a = 6(-2 + 4a) 28 + 14a = (-2 * 6 + 4a * 6) 28 + 14a = (-12 + 24a) Solving 28 + 14a = -12 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 28 + 14a + -24a = -12 + 24a + -24a Combine like terms: 14a + -24a = -10a 28 + -10a = -12 + 24a + -24a Combine like terms: 24a + -24a = 0 28 + -10a = -12 + 0 28 + -10a = -12 Add '-28' to each side of the equation. 28 + -28 + -10a = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10a = -12 + -28 -10a = -12 + -28 Combine like terms: -12 + -28 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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