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Simplifying 5(3a + -2b) + -2(2b + -1a) = 113 (3a * 5 + -2b * 5) + -2(2b + -1a) = 113 (15a + -10b) + -2(2b + -1a) = 113 Reorder the terms: 15a + -10b + -2(-1a + 2b) = 113 15a + -10b + (-1a * -2 + 2b * -2) = 113 15a + -10b + (2a + -4b) = 113 Reorder the terms: 15a + 2a + -10b + -4b = 113 Combine like terms: 15a + 2a = 17a 17a + -10b + -4b = 113 Combine like terms: -10b + -4b = -14b 17a + -14b = 113 Solving 17a + -14b = 113 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14b' to each side of the equation. 17a + -14b + 14b = 113 + 14b Combine like terms: -14b + 14b = 0 17a + 0 = 113 + 14b 17a = 113 + 14b Divide each side by '17'. a = 6.647058824 + 0.8235294118b Simplifying a = 6.647058824 + 0.8235294118b
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