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Simplifying (-11a + -50a) + -1(9b + -5b) + -1(3 + -14) = 0 Combine like terms: -11a + -50a = -61a (-61a) + -1(9b + -5b) + -1(3 + -14) = 0 (-61a) + -1(9b + -5b) + -1(3 + -14) = 0 Combine like terms: 9b + -5b = 4b (-61a) + -1(4b) + -1(3 + -14) = 0 Remove parenthesis around (4b) (-61a) + -1 * 4b + -1(3 + -14) = 0 Multiply -1 * 4 (-61a) + -4b + -1(3 + -14) = 0 Combine like terms: 3 + -14 = -11 (-61a) + -4b + -1(-11) = 0 Multiply -1 * -11 (-61a) + -4b + 11 = 0 Reorder the terms: 11 + (-61a) + -4b = 0 Solving 11 + (-61a) + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + (-61a) + -11 + -4b = 0 + -11 Reorder the terms: 11 + -11 + (-61a) + -4b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + (-61a) + -4b = 0 + -11 (-61a) + -4b = 0 + -11 Combine like terms: 0 + -11 = -11 (-61a) + -4b = -11 Add '4b' to each side of the equation. (-61a) + -4b + 4b = -11 + 4b Combine like terms: -4b + 4b = 0 (-61a) + 0 = -11 + 4b (-61a) = -11 + 4b Divide each side by '-61'. a = 0.1803278689 + -0.06557377049b Simplifying a = 0.1803278689 + -0.06557377049b
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