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Simplifying (7a + 10) + (3b + 6) = 180 Reorder the terms: (10 + 7a) + (3b + 6) = 180 Remove parenthesis around (10 + 7a) 10 + 7a + (3b + 6) = 180 Reorder the terms: 10 + 7a + (6 + 3b) = 180 Remove parenthesis around (6 + 3b) 10 + 7a + 6 + 3b = 180 Reorder the terms: 10 + 6 + 7a + 3b = 180 Combine like terms: 10 + 6 = 16 16 + 7a + 3b = 180 Solving 16 + 7a + 3b = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 7a + -16 + 3b = 180 + -16 Reorder the terms: 16 + -16 + 7a + 3b = 180 + -16 Combine like terms: 16 + -16 = 0 0 + 7a + 3b = 180 + -16 7a + 3b = 180 + -16 Combine like terms: 180 + -16 = 164 7a + 3b = 164 Add '-3b' to each side of the equation. 7a + 3b + -3b = 164 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = 164 + -3b 7a = 164 + -3b Divide each side by '7'. a = 23.42857143 + -0.4285714286b Simplifying a = 23.42857143 + -0.4285714286b
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