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Simplifying 3a + 2b + 6c + 5d = 74 Solving 3a + 2b + 6c + 5d = 74 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. 3a + 2b + 6c + -2b + 5d = 74 + -2b Reorder the terms: 3a + 2b + -2b + 6c + 5d = 74 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + 6c + 5d = 74 + -2b 3a + 6c + 5d = 74 + -2b Add '-6c' to each side of the equation. 3a + 6c + -6c + 5d = 74 + -2b + -6c Combine like terms: 6c + -6c = 0 3a + 0 + 5d = 74 + -2b + -6c 3a + 5d = 74 + -2b + -6c Add '-5d' to each side of the equation. 3a + 5d + -5d = 74 + -2b + -6c + -5d Combine like terms: 5d + -5d = 0 3a + 0 = 74 + -2b + -6c + -5d 3a = 74 + -2b + -6c + -5d Divide each side by '3'. a = 24.66666667 + -0.6666666667b + -2c + -1.666666667d Simplifying a = 24.66666667 + -0.6666666667b + -2c + -1.666666667d
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