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Simplifying 2m + 0.5(8 + -1g) = 12 2m + (8 * 0.5 + -1g * 0.5) = 12 2m + (4 + -0.5g) = 12 Reorder the terms: 4 + -0.5g + 2m = 12 Solving 4 + -0.5g + 2m = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -0.5g + -4 + 2m = 12 + -4 Reorder the terms: 4 + -4 + -0.5g + 2m = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5g + 2m = 12 + -4 -0.5g + 2m = 12 + -4 Combine like terms: 12 + -4 = 8 -0.5g + 2m = 8 Add '-2m' to each side of the equation. -0.5g + 2m + -2m = 8 + -2m Combine like terms: 2m + -2m = 0 -0.5g + 0 = 8 + -2m -0.5g = 8 + -2m Divide each side by '-0.5'. g = -16 + 4m Simplifying g = -16 + 4m
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