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Simplifying 6(a + 3.1) = 14a + -19.0 Reorder the terms: 6(3.1 + a) = 14a + -19.0 (3.1 * 6 + a * 6) = 14a + -19.0 (18.6 + 6a) = 14a + -19.0 Reorder the terms: 18.6 + 6a = -19.0 + 14a Solving 18.6 + 6a = -19.0 + 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. 18.6 + 6a + -14a = -19.0 + 14a + -14a Combine like terms: 6a + -14a = -8a 18.6 + -8a = -19.0 + 14a + -14a Combine like terms: 14a + -14a = 0 18.6 + -8a = -19.0 + 0 18.6 + -8a = -19.0 Add '-18.6' to each side of the equation. 18.6 + -18.6 + -8a = -19.0 + -18.6 Combine like terms: 18.6 + -18.6 = 0.0 0.0 + -8a = -19.0 + -18.6 -8a = -19.0 + -18.6 Combine like terms: -19.0 + -18.6 = -37.6 -8a = -37.6 Divide each side by '-8'. a = 4.7 Simplifying a = 4.7
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