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Simplifying 3(5a + 2b) = 35a + 32b (5a * 3 + 2b * 3) = 35a + 32b (15a + 6b) = 35a + 32b Solving 15a + 6b = 35a + 32b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 15a + -35a + 6b = 35a + -35a + 32b Combine like terms: 15a + -35a = -20a -20a + 6b = 35a + -35a + 32b Combine like terms: 35a + -35a = 0 -20a + 6b = 0 + 32b -20a + 6b = 32b Add '-6b' to each side of the equation. -20a + 6b + -6b = 32b + -6b Combine like terms: 6b + -6b = 0 -20a + 0 = 32b + -6b -20a = 32b + -6b Combine like terms: 32b + -6b = 26b -20a = 26b Divide each side by '-20'. a = -1.3b Simplifying a = -1.3b
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