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Simplifying 7(4a + -6) + -5a = 23 Reorder the terms: 7(-6 + 4a) + -5a = 23 (-6 * 7 + 4a * 7) + -5a = 23 (-42 + 28a) + -5a = 23 Combine like terms: 28a + -5a = 23a -42 + 23a = 23 Solving -42 + 23a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 23a = 23 + 42 Combine like terms: -42 + 42 = 0 0 + 23a = 23 + 42 23a = 23 + 42 Combine like terms: 23 + 42 = 65 23a = 65 Divide each side by '23'. a = 2.826086957 Simplifying a = 2.826086957
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