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Simplifying 3a + 4b = 7(a + b) 3a + 4b = (a * 7 + b * 7) 3a + 4b = (7a + 7b) Solving 3a + 4b = 7a + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 3a + -7a + 4b = 7a + -7a + 7b Combine like terms: 3a + -7a = -4a -4a + 4b = 7a + -7a + 7b Combine like terms: 7a + -7a = 0 -4a + 4b = 0 + 7b -4a + 4b = 7b Add '-4b' to each side of the equation. -4a + 4b + -4b = 7b + -4b Combine like terms: 4b + -4b = 0 -4a + 0 = 7b + -4b -4a = 7b + -4b Combine like terms: 7b + -4b = 3b -4a = 3b Divide each side by '-4'. a = -0.75b Simplifying a = -0.75b
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