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Simplifying a + 40 = 8(4 + 8a) + 7 Reorder the terms: 40 + a = 8(4 + 8a) + 7 40 + a = (4 * 8 + 8a * 8) + 7 40 + a = (32 + 64a) + 7 Reorder the terms: 40 + a = 32 + 7 + 64a Combine like terms: 32 + 7 = 39 40 + a = 39 + 64a Solving 40 + a = 39 + 64a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64a' to each side of the equation. 40 + a + -64a = 39 + 64a + -64a Combine like terms: a + -64a = -63a 40 + -63a = 39 + 64a + -64a Combine like terms: 64a + -64a = 0 40 + -63a = 39 + 0 40 + -63a = 39 Add '-40' to each side of the equation. 40 + -40 + -63a = 39 + -40 Combine like terms: 40 + -40 = 0 0 + -63a = 39 + -40 -63a = 39 + -40 Combine like terms: 39 + -40 = -1 -63a = -1 Divide each side by '-63'. a = 0.01587301587 Simplifying a = 0.01587301587
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