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Simplifying a + 10 = 7a Reorder the terms: 10 + a = 7a Solving 10 + a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10 + a + -7a = 7a + -7a Combine like terms: a + -7a = -6a 10 + -6a = 7a + -7a Combine like terms: 7a + -7a = 0 10 + -6a = 0 Add '-10' to each side of the equation. 10 + -10 + -6a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = 0 + -10 -6a = 0 + -10 Combine like terms: 0 + -10 = -10 -6a = -10 Divide each side by '-6'. a = 1.666666667 Simplifying a = 1.666666667
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