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Simplifying 3(5a + 1) + -12 = 13c + 3 Reorder the terms: 3(1 + 5a) + -12 = 13c + 3 (1 * 3 + 5a * 3) + -12 = 13c + 3 (3 + 15a) + -12 = 13c + 3 Reorder the terms: 3 + -12 + 15a = 13c + 3 Combine like terms: 3 + -12 = -9 -9 + 15a = 13c + 3 Reorder the terms: -9 + 15a = 3 + 13c Solving -9 + 15a = 3 + 13c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 15a = 3 + 9 + 13c Combine like terms: -9 + 9 = 0 0 + 15a = 3 + 9 + 13c 15a = 3 + 9 + 13c Combine like terms: 3 + 9 = 12 15a = 12 + 13c Divide each side by '15'. a = 0.8 + 0.8666666667c Simplifying a = 0.8 + 0.8666666667c
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