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Simplifying 2(2a + 7b) = 8(4a + 9b) (2a * 2 + 7b * 2) = 8(4a + 9b) (4a + 14b) = 8(4a + 9b) 4a + 14b = (4a * 8 + 9b * 8) 4a + 14b = (32a + 72b) Solving 4a + 14b = 32a + 72b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 4a + -32a + 14b = 32a + -32a + 72b Combine like terms: 4a + -32a = -28a -28a + 14b = 32a + -32a + 72b Combine like terms: 32a + -32a = 0 -28a + 14b = 0 + 72b -28a + 14b = 72b Add '-14b' to each side of the equation. -28a + 14b + -14b = 72b + -14b Combine like terms: 14b + -14b = 0 -28a + 0 = 72b + -14b -28a = 72b + -14b Combine like terms: 72b + -14b = 58b -28a = 58b Divide each side by '-28'. a = -2.071428571b Simplifying a = -2.071428571b
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