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Simplifying 6a + -3a + -5 = 7a + -23 Reorder the terms: -5 + 6a + -3a = 7a + -23 Combine like terms: 6a + -3a = 3a -5 + 3a = 7a + -23 Reorder the terms: -5 + 3a = -23 + 7a Solving -5 + 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. -5 + 3a + -7a = -23 + 7a + -7a Combine like terms: 3a + -7a = -4a -5 + -4a = -23 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -4a = -23 + 0 -5 + -4a = -23 Add '5' to each side of the equation. -5 + 5 + -4a = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = -23 + 5 -4a = -23 + 5 Combine like terms: -23 + 5 = -18 -4a = -18 Divide each side by '-4'. a = 4.5 Simplifying a = 4.5
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