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Simplifying c + m + m + m + m + (-1a) = 5m + -1d + -1a Reorder the terms: (-1a) + c + m + m + m + m = 5m + -1d + -1a Combine like terms: m + m = 2m (-1a) + c + 2m + m + m = 5m + -1d + -1a Combine like terms: 2m + m = 3m (-1a) + c + 3m + m = 5m + -1d + -1a Combine like terms: 3m + m = 4m (-1a) + c + 4m = 5m + -1d + -1a Reorder the terms: (-1a) + c + 4m = -1a + -1d + 5m Add '(a)' to each side of the equation. (-1a) + c + (a) + 4m = -1a + -1d + (a) + 5m (-1a) + c + a + 4m = -1a + -1d + (a) + 5m Reorder the terms: (-1a) + a + c + 4m = -1a + -1d + (a) + 5m Combine like terms: (-1a) + a = 0 0 + c + 4m = -1a + -1d + (a) + 5m c + 4m = -1a + -1d + (a) + 5m c + 4m = -1a + -1d + a + 5m Reorder the terms: c + 4m = -1a + a + -1d + 5m Combine like terms: -1a + a = 0 c + 4m = 0 + -1d + 5m c + 4m = -1d + 5m Solving c + 4m = -1d + 5m Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4m' to each side of the equation. c + 4m + -4m = -1d + 5m + -4m Combine like terms: 4m + -4m = 0 c + 0 = -1d + 5m + -4m c = -1d + 5m + -4m Combine like terms: 5m + -4m = 1m c = -1d + 1m Simplifying c = -1d + 1m
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