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Simplifying 0.24m + -0.38(m + 2) = -0.34(m + 4) Reorder the terms: 0.24m + -0.38(2 + m) = -0.34(m + 4) 0.24m + (2 * -0.38 + m * -0.38) = -0.34(m + 4) 0.24m + (-0.76 + -0.38m) = -0.34(m + 4) Reorder the terms: -0.76 + 0.24m + -0.38m = -0.34(m + 4) Combine like terms: 0.24m + -0.38m = -0.14m -0.76 + -0.14m = -0.34(m + 4) Reorder the terms: -0.76 + -0.14m = -0.34(4 + m) -0.76 + -0.14m = (4 * -0.34 + m * -0.34) -0.76 + -0.14m = (-1.36 + -0.34m) Solving -0.76 + -0.14m = -1.36 + -0.34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.34m' to each side of the equation. -0.76 + -0.14m + 0.34m = -1.36 + -0.34m + 0.34m Combine like terms: -0.14m + 0.34m = 0.2m -0.76 + 0.2m = -1.36 + -0.34m + 0.34m Combine like terms: -0.34m + 0.34m = 0.00 -0.76 + 0.2m = -1.36 + 0.00 -0.76 + 0.2m = -1.36 Add '0.76' to each side of the equation. -0.76 + 0.76 + 0.2m = -1.36 + 0.76 Combine like terms: -0.76 + 0.76 = 0.00 0.00 + 0.2m = -1.36 + 0.76 0.2m = -1.36 + 0.76 Combine like terms: -1.36 + 0.76 = -0.6 0.2m = -0.6 Divide each side by '0.2'. m = -3 Simplifying m = -3
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