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Simplifying 8a + -23 = -7(1 + -1a) + 3a Reorder the terms: -23 + 8a = -7(1 + -1a) + 3a -23 + 8a = (1 * -7 + -1a * -7) + 3a -23 + 8a = (-7 + 7a) + 3a Combine like terms: 7a + 3a = 10a -23 + 8a = -7 + 10a Solving -23 + 8a = -7 + 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. -23 + 8a + -10a = -7 + 10a + -10a Combine like terms: 8a + -10a = -2a -23 + -2a = -7 + 10a + -10a Combine like terms: 10a + -10a = 0 -23 + -2a = -7 + 0 -23 + -2a = -7 Add '23' to each side of the equation. -23 + 23 + -2a = -7 + 23 Combine like terms: -23 + 23 = 0 0 + -2a = -7 + 23 -2a = -7 + 23 Combine like terms: -7 + 23 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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