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Simplifying 5.6a + 7 = 56 + -1.4a Reorder the terms: 7 + 5.6a = 56 + -1.4a Solving 7 + 5.6a = 56 + -1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.4a' to each side of the equation. 7 + 5.6a + 1.4a = 56 + -1.4a + 1.4a Combine like terms: 5.6a + 1.4a = 7a 7 + 7a = 56 + -1.4a + 1.4a Combine like terms: -1.4a + 1.4a = 0.0 7 + 7a = 56 + 0.0 7 + 7a = 56 Add '-7' to each side of the equation. 7 + -7 + 7a = 56 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = 56 + -7 7a = 56 + -7 Combine like terms: 56 + -7 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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