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Simplifying 7a + 3 + -1(3 * 5c) = 100 Multiply 3 * 5 7a + 3 + -1(15c) = 100 Remove parenthesis around (15c) 7a + 3 + -1 * 15c = 100 Multiply -1 * 15 7a + 3 + -15c = 100 Reorder the terms: 3 + 7a + -15c = 100 Solving 3 + 7a + -15c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7a + -3 + -15c = 100 + -3 Reorder the terms: 3 + -3 + 7a + -15c = 100 + -3 Combine like terms: 3 + -3 = 0 0 + 7a + -15c = 100 + -3 7a + -15c = 100 + -3 Combine like terms: 100 + -3 = 97 7a + -15c = 97 Add '15c' to each side of the equation. 7a + -15c + 15c = 97 + 15c Combine like terms: -15c + 15c = 0 7a + 0 = 97 + 15c 7a = 97 + 15c Divide each side by '7'. a = 13.85714286 + 2.142857143c Simplifying a = 13.85714286 + 2.142857143c
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