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Simplifying 4.3(g + -7) = 2(10 + g) Reorder the terms: 4.3(-7 + g) = 2(10 + g) (-7 * 4.3 + g * 4.3) = 2(10 + g) (-30.1 + 4.3g) = 2(10 + g) -30.1 + 4.3g = (10 * 2 + g * 2) -30.1 + 4.3g = (20 + 2g) Solving -30.1 + 4.3g = 20 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -30.1 + 4.3g + -2g = 20 + 2g + -2g Combine like terms: 4.3g + -2g = 2.3g -30.1 + 2.3g = 20 + 2g + -2g Combine like terms: 2g + -2g = 0 -30.1 + 2.3g = 20 + 0 -30.1 + 2.3g = 20 Add '30.1' to each side of the equation. -30.1 + 30.1 + 2.3g = 20 + 30.1 Combine like terms: -30.1 + 30.1 = 0.0 0.0 + 2.3g = 20 + 30.1 2.3g = 20 + 30.1 Combine like terms: 20 + 30.1 = 50.1 2.3g = 50.1 Divide each side by '2.3'. g = 21.7826087 Simplifying g = 21.7826087
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