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Simplifying 5m + -1 = 5 + 2m + -8m + 16 Reorder the terms: -1 + 5m = 5 + 2m + -8m + 16 Reorder the terms: -1 + 5m = 5 + 16 + 2m + -8m Combine like terms: 5 + 16 = 21 -1 + 5m = 21 + 2m + -8m Combine like terms: 2m + -8m = -6m -1 + 5m = 21 + -6m Solving -1 + 5m = 21 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -1 + 5m + 6m = 21 + -6m + 6m Combine like terms: 5m + 6m = 11m -1 + 11m = 21 + -6m + 6m Combine like terms: -6m + 6m = 0 -1 + 11m = 21 + 0 -1 + 11m = 21 Add '1' to each side of the equation. -1 + 1 + 11m = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 11m = 21 + 1 11m = 21 + 1 Combine like terms: 21 + 1 = 22 11m = 22 Divide each side by '11'. m = 2 Simplifying m = 2
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