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Simplifying 3a + 5b + 4c + -1 = 100 Reorder the terms: -1 + 3a + 5b + 4c = 100 Solving -1 + 3a + 5b + 4c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3a + 5b + 1 + 4c = 100 + 1 Reorder the terms: -1 + 1 + 3a + 5b + 4c = 100 + 1 Combine like terms: -1 + 1 = 0 0 + 3a + 5b + 4c = 100 + 1 3a + 5b + 4c = 100 + 1 Combine like terms: 100 + 1 = 101 3a + 5b + 4c = 101 Add '-5b' to each side of the equation. 3a + 5b + -5b + 4c = 101 + -5b Combine like terms: 5b + -5b = 0 3a + 0 + 4c = 101 + -5b 3a + 4c = 101 + -5b Add '-4c' to each side of the equation. 3a + 4c + -4c = 101 + -5b + -4c Combine like terms: 4c + -4c = 0 3a + 0 = 101 + -5b + -4c 3a = 101 + -5b + -4c Divide each side by '3'. a = 33.66666667 + -1.666666667b + -1.333333333c Simplifying a = 33.66666667 + -1.666666667b + -1.333333333c
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