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Simplifying m + -7 + 1 = 10 + -7m Reorder the terms: -7 + 1 + m = 10 + -7m Combine like terms: -7 + 1 = -6 -6 + m = 10 + -7m Solving -6 + m = 10 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -6 + m + 7m = 10 + -7m + 7m Combine like terms: m + 7m = 8m -6 + 8m = 10 + -7m + 7m Combine like terms: -7m + 7m = 0 -6 + 8m = 10 + 0 -6 + 8m = 10 Add '6' to each side of the equation. -6 + 6 + 8m = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8m = 10 + 6 8m = 10 + 6 Combine like terms: 10 + 6 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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