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Simplifying -0.428(m + 5) = 3 + 2m Reorder the terms: -0.428(5 + m) = 3 + 2m (5 * -0.428 + m * -0.428) = 3 + 2m (-2.14 + -0.428m) = 3 + 2m Solving -2.14 + -0.428m = 3 + 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. -2.14 + -0.428m + -2m = 3 + 2m + -2m Combine like terms: -0.428m + -2m = -2.428m -2.14 + -2.428m = 3 + 2m + -2m Combine like terms: 2m + -2m = 0 -2.14 + -2.428m = 3 + 0 -2.14 + -2.428m = 3 Add '2.14' to each side of the equation. -2.14 + 2.14 + -2.428m = 3 + 2.14 Combine like terms: -2.14 + 2.14 = 0.00 0.00 + -2.428m = 3 + 2.14 -2.428m = 3 + 2.14 Combine like terms: 3 + 2.14 = 5.14 -2.428m = 5.14 Divide each side by '-2.428'. m = -2.116968699 Simplifying m = -2.116968699
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