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Simplifying 5(g + -0.5) = 4(g + 1.4) + -2(3g + 0.4) Reorder the terms: 5(-0.5 + g) = 4(g + 1.4) + -2(3g + 0.4) (-0.5 * 5 + g * 5) = 4(g + 1.4) + -2(3g + 0.4) (-2.5 + 5g) = 4(g + 1.4) + -2(3g + 0.4) Reorder the terms: -2.5 + 5g = 4(1.4 + g) + -2(3g + 0.4) -2.5 + 5g = (1.4 * 4 + g * 4) + -2(3g + 0.4) -2.5 + 5g = (5.6 + 4g) + -2(3g + 0.4) Reorder the terms: -2.5 + 5g = 5.6 + 4g + -2(0.4 + 3g) -2.5 + 5g = 5.6 + 4g + (0.4 * -2 + 3g * -2) -2.5 + 5g = 5.6 + 4g + (-0.8 + -6g) Reorder the terms: -2.5 + 5g = 5.6 + -0.8 + 4g + -6g Combine like terms: 5.6 + -0.8 = 4.8 -2.5 + 5g = 4.8 + 4g + -6g Combine like terms: 4g + -6g = -2g -2.5 + 5g = 4.8 + -2g Solving -2.5 + 5g = 4.8 + -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. -2.5 + 5g + 2g = 4.8 + -2g + 2g Combine like terms: 5g + 2g = 7g -2.5 + 7g = 4.8 + -2g + 2g Combine like terms: -2g + 2g = 0 -2.5 + 7g = 4.8 + 0 -2.5 + 7g = 4.8 Add '2.5' to each side of the equation. -2.5 + 2.5 + 7g = 4.8 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 7g = 4.8 + 2.5 7g = 4.8 + 2.5 Combine like terms: 4.8 + 2.5 = 7.3 7g = 7.3 Divide each side by '7'. g = 1.042857143 Simplifying g = 1.042857143
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