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Simplifying 4(a + 3.7) = 8a + -0.4 Reorder the terms: 4(3.7 + a) = 8a + -0.4 (3.7 * 4 + a * 4) = 8a + -0.4 (14.8 + 4a) = 8a + -0.4 Reorder the terms: 14.8 + 4a = -0.4 + 8a Solving 14.8 + 4a = -0.4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 14.8 + 4a + -8a = -0.4 + 8a + -8a Combine like terms: 4a + -8a = -4a 14.8 + -4a = -0.4 + 8a + -8a Combine like terms: 8a + -8a = 0 14.8 + -4a = -0.4 + 0 14.8 + -4a = -0.4 Add '-14.8' to each side of the equation. 14.8 + -14.8 + -4a = -0.4 + -14.8 Combine like terms: 14.8 + -14.8 = 0.0 0.0 + -4a = -0.4 + -14.8 -4a = -0.4 + -14.8 Combine like terms: -0.4 + -14.8 = -15.2 -4a = -15.2 Divide each side by '-4'. a = 3.8 Simplifying a = 3.8
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