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Simplifying 7a + 5a + -40 = 9 + 4a + 7 Reorder the terms: -40 + 7a + 5a = 9 + 4a + 7 Combine like terms: 7a + 5a = 12a -40 + 12a = 9 + 4a + 7 Reorder the terms: -40 + 12a = 9 + 7 + 4a Combine like terms: 9 + 7 = 16 -40 + 12a = 16 + 4a Solving -40 + 12a = 16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -40 + 12a + -4a = 16 + 4a + -4a Combine like terms: 12a + -4a = 8a -40 + 8a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 -40 + 8a = 16 + 0 -40 + 8a = 16 Add '40' to each side of the equation. -40 + 40 + 8a = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 8a = 16 + 40 8a = 16 + 40 Combine like terms: 16 + 40 = 56 8a = 56 Divide each side by '8'. a = 7 Simplifying a = 7
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