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