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Simplifying -18.66 + 4m = 15.2m + 2.14 + -9.2m Reorder the terms: -18.66 + 4m = 2.14 + 15.2m + -9.2m Combine like terms: 15.2m + -9.2m = 6m -18.66 + 4m = 2.14 + 6m Solving -18.66 + 4m = 2.14 + 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. -18.66 + 4m + -6m = 2.14 + 6m + -6m Combine like terms: 4m + -6m = -2m -18.66 + -2m = 2.14 + 6m + -6m Combine like terms: 6m + -6m = 0 -18.66 + -2m = 2.14 + 0 -18.66 + -2m = 2.14 Add '18.66' to each side of the equation. -18.66 + 18.66 + -2m = 2.14 + 18.66 Combine like terms: -18.66 + 18.66 = 0.00 0.00 + -2m = 2.14 + 18.66 -2m = 2.14 + 18.66 Combine like terms: 2.14 + 18.66 = 20.8 -2m = 20.8 Divide each side by '-2'. m = -10.4 Simplifying m = -10.4
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