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Simplifying 0.4(g + -9) = 0.7(g + -4) Reorder the terms: 0.4(-9 + g) = 0.7(g + -4) (-9 * 0.4 + g * 0.4) = 0.7(g + -4) (-3.6 + 0.4g) = 0.7(g + -4) Reorder the terms: -3.6 + 0.4g = 0.7(-4 + g) -3.6 + 0.4g = (-4 * 0.7 + g * 0.7) -3.6 + 0.4g = (-2.8 + 0.7g) Solving -3.6 + 0.4g = -2.8 + 0.7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.7g' to each side of the equation. -3.6 + 0.4g + -0.7g = -2.8 + 0.7g + -0.7g Combine like terms: 0.4g + -0.7g = -0.3g -3.6 + -0.3g = -2.8 + 0.7g + -0.7g Combine like terms: 0.7g + -0.7g = 0.0 -3.6 + -0.3g = -2.8 + 0.0 -3.6 + -0.3g = -2.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + -0.3g = -2.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -0.3g = -2.8 + 3.6 -0.3g = -2.8 + 3.6 Combine like terms: -2.8 + 3.6 = 0.8 -0.3g = 0.8 Divide each side by '-0.3'. g = -2.666666667 Simplifying g = -2.666666667
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