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Simplifying 2(7a + 7b) = 6(11a + 11b) (7a * 2 + 7b * 2) = 6(11a + 11b) (14a + 14b) = 6(11a + 11b) 14a + 14b = (11a * 6 + 11b * 6) 14a + 14b = (66a + 66b) Solving 14a + 14b = 66a + 66b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66a' to each side of the equation. 14a + -66a + 14b = 66a + -66a + 66b Combine like terms: 14a + -66a = -52a -52a + 14b = 66a + -66a + 66b Combine like terms: 66a + -66a = 0 -52a + 14b = 0 + 66b -52a + 14b = 66b Add '-14b' to each side of the equation. -52a + 14b + -14b = 66b + -14b Combine like terms: 14b + -14b = 0 -52a + 0 = 66b + -14b -52a = 66b + -14b Combine like terms: 66b + -14b = 52b -52a = 52b Divide each side by '-52'. a = -1b Simplifying a = -1b
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