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Simplifying -31.116 + 6.9m = 0.3m + -7.9(-6.9m + 0.3) Reorder the terms: -31.116 + 6.9m = 0.3m + -7.9(0.3 + -6.9m) -31.116 + 6.9m = 0.3m + (0.3 * -7.9 + -6.9m * -7.9) -31.116 + 6.9m = 0.3m + (-2.37 + 54.51m) Reorder the terms: -31.116 + 6.9m = -2.37 + 0.3m + 54.51m Combine like terms: 0.3m + 54.51m = 54.81m -31.116 + 6.9m = -2.37 + 54.81m Solving -31.116 + 6.9m = -2.37 + 54.81m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54.81m' to each side of the equation. -31.116 + 6.9m + -54.81m = -2.37 + 54.81m + -54.81m Combine like terms: 6.9m + -54.81m = -47.91m -31.116 + -47.91m = -2.37 + 54.81m + -54.81m Combine like terms: 54.81m + -54.81m = 0.00 -31.116 + -47.91m = -2.37 + 0.00 -31.116 + -47.91m = -2.37 Add '31.116' to each side of the equation. -31.116 + 31.116 + -47.91m = -2.37 + 31.116 Combine like terms: -31.116 + 31.116 = 0.000 0.000 + -47.91m = -2.37 + 31.116 -47.91m = -2.37 + 31.116 Combine like terms: -2.37 + 31.116 = 28.746 -47.91m = 28.746 Divide each side by '-47.91'. m = -0.6 Simplifying m = -0.6
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