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Simplifying (6a + -36a) + -1(5b + 16b) + -1(3 + -29) = 0 Combine like terms: 6a + -36a = -30a (-30a) + -1(5b + 16b) + -1(3 + -29) = 0 (-30a) + -1(5b + 16b) + -1(3 + -29) = 0 Combine like terms: 5b + 16b = 21b (-30a) + -1(21b) + -1(3 + -29) = 0 Remove parenthesis around (21b) (-30a) + -1 * 21b + -1(3 + -29) = 0 Multiply -1 * 21 (-30a) + -21b + -1(3 + -29) = 0 Combine like terms: 3 + -29 = -26 (-30a) + -21b + -1(-26) = 0 Multiply -1 * -26 (-30a) + -21b + 26 = 0 Reorder the terms: 26 + (-30a) + -21b = 0 Solving 26 + (-30a) + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + (-30a) + -26 + -21b = 0 + -26 Reorder the terms: 26 + -26 + (-30a) + -21b = 0 + -26 Combine like terms: 26 + -26 = 0 0 + (-30a) + -21b = 0 + -26 (-30a) + -21b = 0 + -26 Combine like terms: 0 + -26 = -26 (-30a) + -21b = -26 Add '21b' to each side of the equation. (-30a) + -21b + 21b = -26 + 21b Combine like terms: -21b + 21b = 0 (-30a) + 0 = -26 + 21b (-30a) = -26 + 21b Divide each side by '-30'. a = 0.8666666667 + -0.7b Simplifying a = 0.8666666667 + -0.7b
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