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Simplifying 3a + 7 = 10a + -1 Reorder the terms: 7 + 3a = 10a + -1 Reorder the terms: 7 + 3a = -1 + 10a Solving 7 + 3a = -1 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 7 + 3a + -10a = -1 + 10a + -10a Combine like terms: 3a + -10a = -7a 7 + -7a = -1 + 10a + -10a Combine like terms: 10a + -10a = 0 7 + -7a = -1 + 0 7 + -7a = -1 Add '-7' to each side of the equation. 7 + -7 + -7a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -7a = -1 + -7 -7a = -1 + -7 Combine like terms: -1 + -7 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143
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