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Simplifying -7 + 0.5g + -6 = 4g + 10 + -1g Reorder the terms: -7 + -6 + 0.5g = 4g + 10 + -1g Combine like terms: -7 + -6 = -13 -13 + 0.5g = 4g + 10 + -1g Reorder the terms: -13 + 0.5g = 10 + 4g + -1g Combine like terms: 4g + -1g = 3g -13 + 0.5g = 10 + 3g Solving -13 + 0.5g = 10 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -13 + 0.5g + -3g = 10 + 3g + -3g Combine like terms: 0.5g + -3g = -2.5g -13 + -2.5g = 10 + 3g + -3g Combine like terms: 3g + -3g = 0 -13 + -2.5g = 10 + 0 -13 + -2.5g = 10 Add '13' to each side of the equation. -13 + 13 + -2.5g = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -2.5g = 10 + 13 -2.5g = 10 + 13 Combine like terms: 10 + 13 = 23 -2.5g = 23 Divide each side by '-2.5'. g = -9.2 Simplifying g = -9.2
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