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Simplifying 17m + -4 + -7m = 4m + 52 + -2m Reorder the terms: -4 + 17m + -7m = 4m + 52 + -2m Combine like terms: 17m + -7m = 10m -4 + 10m = 4m + 52 + -2m Reorder the terms: -4 + 10m = 52 + 4m + -2m Combine like terms: 4m + -2m = 2m -4 + 10m = 52 + 2m Solving -4 + 10m = 52 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -4 + 10m + -2m = 52 + 2m + -2m Combine like terms: 10m + -2m = 8m -4 + 8m = 52 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + 8m = 52 + 0 -4 + 8m = 52 Add '4' to each side of the equation. -4 + 4 + 8m = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 8m = 52 + 4 8m = 52 + 4 Combine like terms: 52 + 4 = 56 8m = 56 Divide each side by '8'. m = 7 Simplifying m = 7
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