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Simplifying 10 + -2a = 7 + 5a Solving 10 + -2a = 7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 10 + -2a + -5a = 7 + 5a + -5a Combine like terms: -2a + -5a = -7a 10 + -7a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 10 + -7a = 7 + 0 10 + -7a = 7 Add '-10' to each side of the equation. 10 + -10 + -7a = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -7a = 7 + -10 -7a = 7 + -10 Combine like terms: 7 + -10 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286
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