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Simplifying -23 = -9 + 7(1a + 6) Reorder the terms: -23 = -9 + 7(6 + 1a) -23 = -9 + (6 * 7 + 1a * 7) -23 = -9 + (42 + 7a) Combine like terms: -9 + 42 = 33 -23 = 33 + 7a Solving -23 = 33 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -23 + -7a = 33 + 7a + -7a Combine like terms: 7a + -7a = 0 -23 + -7a = 33 + 0 -23 + -7a = 33 Add '23' to each side of the equation. -23 + 23 + -7a = 33 + 23 Combine like terms: -23 + 23 = 0 0 + -7a = 33 + 23 -7a = 33 + 23 Combine like terms: 33 + 23 = 56 -7a = 56 Divide each side by '-7'. a = -8 Simplifying a = -8
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