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Simplifying -4a + -5 + 7a + -2 = -7a + 23 Reorder the terms: -5 + -2 + -4a + 7a = -7a + 23 Combine like terms: -5 + -2 = -7 -7 + -4a + 7a = -7a + 23 Combine like terms: -4a + 7a = 3a -7 + 3a = -7a + 23 Reorder the terms: -7 + 3a = 23 + -7a Solving -7 + 3a = 23 + -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. -7 + 3a + 7a = 23 + -7a + 7a Combine like terms: 3a + 7a = 10a -7 + 10a = 23 + -7a + 7a Combine like terms: -7a + 7a = 0 -7 + 10a = 23 + 0 -7 + 10a = 23 Add '7' to each side of the equation. -7 + 7 + 10a = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 10a = 23 + 7 10a = 23 + 7 Combine like terms: 23 + 7 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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