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Simplifying 100 = 15a + 0.25b + 1c Solving 100 = 15a + 0.25b + 1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 100 + -15a = 15a + 0.25b + -15a + 1c Reorder the terms: 100 + -15a = 15a + -15a + 0.25b + 1c Combine like terms: 15a + -15a = 0 100 + -15a = 0 + 0.25b + 1c 100 + -15a = 0.25b + 1c Add '-100' to each side of the equation. 100 + -100 + -15a = 0.25b + -100 + 1c Combine like terms: 100 + -100 = 0 0 + -15a = 0.25b + -100 + 1c -15a = 0.25b + -100 + 1c Reorder the terms: -15a = -100 + 0.25b + 1c Divide each side by '-15'. a = 6.666666667 + -0.01666666667b + -0.06666666667c Simplifying a = 6.666666667 + -0.01666666667b + -0.06666666667c
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