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Simplifying 3a + 13 = 10a + -8 Reorder the terms: 13 + 3a = 10a + -8 Reorder the terms: 13 + 3a = -8 + 10a Solving 13 + 3a = -8 + 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. 13 + 3a + -10a = -8 + 10a + -10a Combine like terms: 3a + -10a = -7a 13 + -7a = -8 + 10a + -10a Combine like terms: 10a + -10a = 0 13 + -7a = -8 + 0 13 + -7a = -8 Add '-13' to each side of the equation. 13 + -13 + -7a = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7a = -8 + -13 -7a = -8 + -13 Combine like terms: -8 + -13 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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