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Simplifying 4(2.2a + 5) = 7.8a + -15 Reorder the terms: 4(5 + 2.2a) = 7.8a + -15 (5 * 4 + 2.2a * 4) = 7.8a + -15 (20 + 8.8a) = 7.8a + -15 Reorder the terms: 20 + 8.8a = -15 + 7.8a Solving 20 + 8.8a = -15 + 7.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.8a' to each side of the equation. 20 + 8.8a + -7.8a = -15 + 7.8a + -7.8a Combine like terms: 8.8a + -7.8a = 1a 20 + 1a = -15 + 7.8a + -7.8a Combine like terms: 7.8a + -7.8a = 0.0 20 + 1a = -15 + 0.0 20 + 1a = -15 Add '-20' to each side of the equation. 20 + -20 + 1a = -15 + -20 Combine like terms: 20 + -20 = 0 0 + 1a = -15 + -20 1a = -15 + -20 Combine like terms: -15 + -20 = -35 1a = -35 Divide each side by '1'. a = -35 Simplifying a = -35
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