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Simplifying 4.92 = 0.55 + 0.23(m + -1) Reorder the terms: 4.92 = 0.55 + 0.23(-1 + m) 4.92 = 0.55 + (-1 * 0.23 + m * 0.23) 4.92 = 0.55 + (-0.23 + 0.23m) Combine like terms: 0.55 + -0.23 = 0.32 4.92 = 0.32 + 0.23m Solving 4.92 = 0.32 + 0.23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.23m' to each side of the equation. 4.92 + -0.23m = 0.32 + 0.23m + -0.23m Combine like terms: 0.23m + -0.23m = 0.00 4.92 + -0.23m = 0.32 + 0.00 4.92 + -0.23m = 0.32 Add '-4.92' to each side of the equation. 4.92 + -4.92 + -0.23m = 0.32 + -4.92 Combine like terms: 4.92 + -4.92 = 0.00 0.00 + -0.23m = 0.32 + -4.92 -0.23m = 0.32 + -4.92 Combine like terms: 0.32 + -4.92 = -4.6 -0.23m = -4.6 Divide each side by '-0.23'. m = 20 Simplifying m = 20
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