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Simplifying (60 + -4a + 5b) + -6(7a + -3b) = 0 Remove parenthesis around (60 + -4a + 5b) 60 + -4a + 5b + -6(7a + -3b) = 0 60 + -4a + 5b + (7a * -6 + -3b * -6) = 0 60 + -4a + 5b + (-42a + 18b) = 0 Reorder the terms: 60 + -4a + -42a + 5b + 18b = 0 Combine like terms: -4a + -42a = -46a 60 + -46a + 5b + 18b = 0 Combine like terms: 5b + 18b = 23b 60 + -46a + 23b = 0 Solving 60 + -46a + 23b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -46a + -60 + 23b = 0 + -60 Reorder the terms: 60 + -60 + -46a + 23b = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -46a + 23b = 0 + -60 -46a + 23b = 0 + -60 Combine like terms: 0 + -60 = -60 -46a + 23b = -60 Add '-23b' to each side of the equation. -46a + 23b + -23b = -60 + -23b Combine like terms: 23b + -23b = 0 -46a + 0 = -60 + -23b -46a = -60 + -23b Divide each side by '-46'. a = 1.304347826 + 0.5b Simplifying a = 1.304347826 + 0.5b
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