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Simplifying 0.2(g + -2) = 0.6(g + -10) Reorder the terms: 0.2(-2 + g) = 0.6(g + -10) (-2 * 0.2 + g * 0.2) = 0.6(g + -10) (-0.4 + 0.2g) = 0.6(g + -10) Reorder the terms: -0.4 + 0.2g = 0.6(-10 + g) -0.4 + 0.2g = (-10 * 0.6 + g * 0.6) -0.4 + 0.2g = (-6 + 0.6g) Solving -0.4 + 0.2g = -6 + 0.6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.6g' to each side of the equation. -0.4 + 0.2g + -0.6g = -6 + 0.6g + -0.6g Combine like terms: 0.2g + -0.6g = -0.4g -0.4 + -0.4g = -6 + 0.6g + -0.6g Combine like terms: 0.6g + -0.6g = 0.0 -0.4 + -0.4g = -6 + 0.0 -0.4 + -0.4g = -6 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.4g = -6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.4g = -6 + 0.4 -0.4g = -6 + 0.4 Combine like terms: -6 + 0.4 = -5.6 -0.4g = -5.6 Divide each side by '-0.4'. g = 14 Simplifying g = 14
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