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Simplifying 0.3(g + -6) = 0.6(g + -2) Reorder the terms: 0.3(-6 + g) = 0.6(g + -2) (-6 * 0.3 + g * 0.3) = 0.6(g + -2) (-1.8 + 0.3g) = 0.6(g + -2) Reorder the terms: -1.8 + 0.3g = 0.6(-2 + g) -1.8 + 0.3g = (-2 * 0.6 + g * 0.6) -1.8 + 0.3g = (-1.2 + 0.6g) Solving -1.8 + 0.3g = -1.2 + 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. -1.8 + 0.3g + -0.6g = -1.2 + 0.6g + -0.6g Combine like terms: 0.3g + -0.6g = -0.3g -1.8 + -0.3g = -1.2 + 0.6g + -0.6g Combine like terms: 0.6g + -0.6g = 0.0 -1.8 + -0.3g = -1.2 + 0.0 -1.8 + -0.3g = -1.2 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.3g = -1.2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.3g = -1.2 + 1.8 -0.3g = -1.2 + 1.8 Combine like terms: -1.2 + 1.8 = 0.6 -0.3g = 0.6 Divide each side by '-0.3'. g = -2 Simplifying g = -2
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