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Simplifying 41 = 0.5a + 0.7a + -7 Reorder the terms: 41 = -7 + 0.5a + 0.7a Combine like terms: 0.5a + 0.7a = 1.2a 41 = -7 + 1.2a Solving 41 = -7 + 1.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2a' to each side of the equation. 41 + -1.2a = -7 + 1.2a + -1.2a Combine like terms: 1.2a + -1.2a = 0.0 41 + -1.2a = -7 + 0.0 41 + -1.2a = -7 Add '-41' to each side of the equation. 41 + -41 + -1.2a = -7 + -41 Combine like terms: 41 + -41 = 0 0 + -1.2a = -7 + -41 -1.2a = -7 + -41 Combine like terms: -7 + -41 = -48 -1.2a = -48 Divide each side by '-1.2'. a = 40 Simplifying a = 40
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