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Simplifying 7(a + 4b) + -3c = m (a * 7 + 4b * 7) + -3c = m (7a + 28b) + -3c = m Solving 7a + 28b + -3c = m Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28b' to each side of the equation. 7a + 28b + -28b + -3c = -28b + m Combine like terms: 28b + -28b = 0 7a + 0 + -3c = -28b + m 7a + -3c = -28b + m Add '3c' to each side of the equation. 7a + -3c + 3c = -28b + 3c + m Combine like terms: -3c + 3c = 0 7a + 0 = -28b + 3c + m 7a = -28b + 3c + m Divide each side by '7'. a = -4b + 0.4285714286c + 0.1428571429m Simplifying a = -4b + 0.4285714286c + 0.1428571429m
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