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Simplifying 2(6a + -7b) = 10(10a + -8b) (6a * 2 + -7b * 2) = 10(10a + -8b) (12a + -14b) = 10(10a + -8b) 12a + -14b = (10a * 10 + -8b * 10) 12a + -14b = (100a + -80b) Solving 12a + -14b = 100a + -80b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100a' to each side of the equation. 12a + -100a + -14b = 100a + -100a + -80b Combine like terms: 12a + -100a = -88a -88a + -14b = 100a + -100a + -80b Combine like terms: 100a + -100a = 0 -88a + -14b = 0 + -80b -88a + -14b = -80b Add '14b' to each side of the equation. -88a + -14b + 14b = -80b + 14b Combine like terms: -14b + 14b = 0 -88a + 0 = -80b + 14b -88a = -80b + 14b Combine like terms: -80b + 14b = -66b -88a = -66b Divide each side by '-88'. a = 0.75b Simplifying a = 0.75b
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