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Simplifying -3a + -23 = 7(a + 1) Reorder the terms: -23 + -3a = 7(a + 1) Reorder the terms: -23 + -3a = 7(1 + a) -23 + -3a = (1 * 7 + a * 7) -23 + -3a = (7 + 7a) Solving -23 + -3a = 7 + 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 + -3a + -7a = 7 + 7a + -7a Combine like terms: -3a + -7a = -10a -23 + -10a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 -23 + -10a = 7 + 0 -23 + -10a = 7 Add '23' to each side of the equation. -23 + 23 + -10a = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -10a = 7 + 23 -10a = 7 + 23 Combine like terms: 7 + 23 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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