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Simplifying 0.11(2m + -16) = 0.33(2m + 4) Reorder the terms: 0.11(-16 + 2m) = 0.33(2m + 4) (-16 * 0.11 + 2m * 0.11) = 0.33(2m + 4) (-1.76 + 0.22m) = 0.33(2m + 4) Reorder the terms: -1.76 + 0.22m = 0.33(4 + 2m) -1.76 + 0.22m = (4 * 0.33 + 2m * 0.33) -1.76 + 0.22m = (1.32 + 0.66m) Solving -1.76 + 0.22m = 1.32 + 0.66m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.66m' to each side of the equation. -1.76 + 0.22m + -0.66m = 1.32 + 0.66m + -0.66m Combine like terms: 0.22m + -0.66m = -0.44m -1.76 + -0.44m = 1.32 + 0.66m + -0.66m Combine like terms: 0.66m + -0.66m = 0.00 -1.76 + -0.44m = 1.32 + 0.00 -1.76 + -0.44m = 1.32 Add '1.76' to each side of the equation. -1.76 + 1.76 + -0.44m = 1.32 + 1.76 Combine like terms: -1.76 + 1.76 = 0.00 0.00 + -0.44m = 1.32 + 1.76 -0.44m = 1.32 + 1.76 Combine like terms: 1.32 + 1.76 = 3.08 -0.44m = 3.08 Divide each side by '-0.44'. m = -7 Simplifying m = -7
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