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Simplifying 3a + 2b + 5c + 3d = 6.50 Solving 3a + 2b + 5c + 3d = 6.50 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 + 5c + -2b + 3d = 6.50 + -2b Reorder the terms: 3a + 2b + -2b + 5c + 3d = 6.50 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + 5c + 3d = 6.50 + -2b 3a + 5c + 3d = 6.50 + -2b Add '-5c' to each side of the equation. 3a + 5c + -5c + 3d = 6.50 + -2b + -5c Combine like terms: 5c + -5c = 0 3a + 0 + 3d = 6.50 + -2b + -5c 3a + 3d = 6.50 + -2b + -5c Add '-3d' to each side of the equation. 3a + 3d + -3d = 6.50 + -2b + -5c + -3d Combine like terms: 3d + -3d = 0 3a + 0 = 6.50 + -2b + -5c + -3d 3a = 6.50 + -2b + -5c + -3d Divide each side by '3'. a = 2.166666667 + -0.6666666667b + -1.666666667c + -1d Simplifying a = 2.166666667 + -0.6666666667b + -1.666666667c + -1d
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