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Simplifying 16 + -2m + 6 = 3 + 2m + -13 Reorder the terms: 16 + 6 + -2m = 3 + 2m + -13 Combine like terms: 16 + 6 = 22 22 + -2m = 3 + 2m + -13 Reorder the terms: 22 + -2m = 3 + -13 + 2m Combine like terms: 3 + -13 = -10 22 + -2m = -10 + 2m Solving 22 + -2m = -10 + 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. 22 + -2m + -2m = -10 + 2m + -2m Combine like terms: -2m + -2m = -4m 22 + -4m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 22 + -4m = -10 + 0 22 + -4m = -10 Add '-22' to each side of the equation. 22 + -22 + -4m = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -4m = -10 + -22 -4m = -10 + -22 Combine like terms: -10 + -22 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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