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Simplifying -7.1a + -3(3 + -4a) = -14 + 10.9a -7.1a + (3 * -3 + -4a * -3) = -14 + 10.9a -7.1a + (-9 + 12a) = -14 + 10.9a Reorder the terms: -9 + -7.1a + 12a = -14 + 10.9a Combine like terms: -7.1a + 12a = 4.9a -9 + 4.9a = -14 + 10.9a Solving -9 + 4.9a = -14 + 10.9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10.9a' to each side of the equation. -9 + 4.9a + -10.9a = -14 + 10.9a + -10.9a Combine like terms: 4.9a + -10.9a = -6a -9 + -6a = -14 + 10.9a + -10.9a Combine like terms: 10.9a + -10.9a = 0.0 -9 + -6a = -14 + 0.0 -9 + -6a = -14 Add '9' to each side of the equation. -9 + 9 + -6a = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -6a = -14 + 9 -6a = -14 + 9 Combine like terms: -14 + 9 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333
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