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Simplifying 6a + -1(3m + -4a) = a + (m + -5a) Reorder the terms: 6a + -1(-4a + 3m) = a + (m + -5a) 6a + (-4a * -1 + 3m * -1) = a + (m + -5a) 6a + (4a + -3m) = a + (m + -5a) Combine like terms: 6a + 4a = 10a 10a + -3m = a + (m + -5a) Reorder the terms: 10a + -3m = a + (-5a + m) Remove parenthesis around (-5a + m) 10a + -3m = a + -5a + m Combine like terms: a + -5a = -4a 10a + -3m = -4a + m Solving 10a + -3m = -4a + m Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10a + 4a + -3m = -4a + 4a + m Combine like terms: 10a + 4a = 14a 14a + -3m = -4a + 4a + m Combine like terms: -4a + 4a = 0 14a + -3m = 0 + m 14a + -3m = m Add '3m' to each side of the equation. 14a + -3m + 3m = m + 3m Combine like terms: -3m + 3m = 0 14a + 0 = m + 3m 14a = m + 3m Combine like terms: m + 3m = 4m 14a = 4m Divide each side by '14'. a = 0.2857142857m Simplifying a = 0.2857142857m
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