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Simplifying 101 + -3a = 10a + 23 Reorder the terms: 101 + -3a = 23 + 10a Solving 101 + -3a = 23 + 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. 101 + -3a + -10a = 23 + 10a + -10a Combine like terms: -3a + -10a = -13a 101 + -13a = 23 + 10a + -10a Combine like terms: 10a + -10a = 0 101 + -13a = 23 + 0 101 + -13a = 23 Add '-101' to each side of the equation. 101 + -101 + -13a = 23 + -101 Combine like terms: 101 + -101 = 0 0 + -13a = 23 + -101 -13a = 23 + -101 Combine like terms: 23 + -101 = -78 -13a = -78 Divide each side by '-13'. a = 6 Simplifying a = 6
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