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Simplifying 7a + -8(5b) + -3(4a) + -6(3b) = 0 Remove parenthesis around (5b) 7a + -8 * 5b + -3(4a) + -6(3b) = 0 Multiply -8 * 5 7a + -40b + -3(4a) + -6(3b) = 0 Remove parenthesis around (4a) 7a + -40b + -3 * 4a + -6(3b) = 0 Multiply -3 * 4 7a + -40b + -12a + -6(3b) = 0 Remove parenthesis around (3b) 7a + -40b + -12a + -6 * 3b = 0 Multiply -6 * 3 7a + -40b + -12a + -18b = 0 Reorder the terms: 7a + -12a + -40b + -18b = 0 Combine like terms: 7a + -12a = -5a -5a + -40b + -18b = 0 Combine like terms: -40b + -18b = -58b -5a + -58b = 0 Solving -5a + -58b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58b' to each side of the equation. -5a + -58b + 58b = 0 + 58b Combine like terms: -58b + 58b = 0 -5a + 0 = 0 + 58b -5a = 0 + 58b Remove the zero: -5a = 58b Divide each side by '-5'. a = -11.6b Simplifying a = -11.6b
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