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Simplifying 64 = 7(a + 4) + -3a Reorder the terms: 64 = 7(4 + a) + -3a 64 = (4 * 7 + a * 7) + -3a 64 = (28 + 7a) + -3a Combine like terms: 7a + -3a = 4a 64 = 28 + 4a Solving 64 = 28 + 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. 64 + -4a = 28 + 4a + -4a Combine like terms: 4a + -4a = 0 64 + -4a = 28 + 0 64 + -4a = 28 Add '-64' to each side of the equation. 64 + -64 + -4a = 28 + -64 Combine like terms: 64 + -64 = 0 0 + -4a = 28 + -64 -4a = 28 + -64 Combine like terms: 28 + -64 = -36 -4a = -36 Divide each side by '-4'. a = 9 Simplifying a = 9
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