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Simplifying 7a + 2b + 2c + 5d = 99 Solving 7a + 2b + 2c + 5d = 99 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 7a + 2b + 2c + -2b + 5d = 99 + -2b Reorder the terms: 7a + 2b + -2b + 2c + 5d = 99 + -2b Combine like terms: 2b + -2b = 0 7a + 0 + 2c + 5d = 99 + -2b 7a + 2c + 5d = 99 + -2b Add '-2c' to each side of the equation. 7a + 2c + -2c + 5d = 99 + -2b + -2c Combine like terms: 2c + -2c = 0 7a + 0 + 5d = 99 + -2b + -2c 7a + 5d = 99 + -2b + -2c Add '-5d' to each side of the equation. 7a + 5d + -5d = 99 + -2b + -2c + -5d Combine like terms: 5d + -5d = 0 7a + 0 = 99 + -2b + -2c + -5d 7a = 99 + -2b + -2c + -5d Divide each side by '7'. a = 14.14285714 + -0.2857142857b + -0.2857142857c + -0.7142857143d Simplifying a = 14.14285714 + -0.2857142857b + -0.2857142857c + -0.7142857143d
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