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Simplifying 23 + -3a = -7(1 + 5a) + -2 23 + -3a = (1 * -7 + 5a * -7) + -2 23 + -3a = (-7 + -35a) + -2 Reorder the terms: 23 + -3a = -7 + -2 + -35a Combine like terms: -7 + -2 = -9 23 + -3a = -9 + -35a Solving 23 + -3a = -9 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 23 + -3a + 35a = -9 + -35a + 35a Combine like terms: -3a + 35a = 32a 23 + 32a = -9 + -35a + 35a Combine like terms: -35a + 35a = 0 23 + 32a = -9 + 0 23 + 32a = -9 Add '-23' to each side of the equation. 23 + -23 + 32a = -9 + -23 Combine like terms: 23 + -23 = 0 0 + 32a = -9 + -23 32a = -9 + -23 Combine like terms: -9 + -23 = -32 32a = -32 Divide each side by '32'. a = -1 Simplifying a = -1
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