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Simplifying 6a + 3 + -5 = 7a + -23 Reorder the terms: 3 + -5 + 6a = 7a + -23 Combine like terms: 3 + -5 = -2 -2 + 6a = 7a + -23 Reorder the terms: -2 + 6a = -23 + 7a Solving -2 + 6a = -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. -2 + 6a + -7a = -23 + 7a + -7a Combine like terms: 6a + -7a = -1a -2 + -1a = -23 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -1a = -23 + 0 -2 + -1a = -23 Add '2' to each side of the equation. -2 + 2 + -1a = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = -23 + 2 -1a = -23 + 2 Combine like terms: -23 + 2 = -21 -1a = -21 Divide each side by '-1'. a = 21 Simplifying a = 21
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