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Simplifying 5(g + 8) + -7 = 10 + g Reorder the terms: 5(8 + g) + -7 = 10 + g (8 * 5 + g * 5) + -7 = 10 + g (40 + 5g) + -7 = 10 + g Reorder the terms: 40 + -7 + 5g = 10 + g Combine like terms: 40 + -7 = 33 33 + 5g = 10 + g Solving 33 + 5g = 10 + g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 33 + 5g + -1g = 10 + g + -1g Combine like terms: 5g + -1g = 4g 33 + 4g = 10 + g + -1g Combine like terms: g + -1g = 0 33 + 4g = 10 + 0 33 + 4g = 10 Add '-33' to each side of the equation. 33 + -33 + 4g = 10 + -33 Combine like terms: 33 + -33 = 0 0 + 4g = 10 + -33 4g = 10 + -33 Combine like terms: 10 + -33 = -23 4g = -23 Divide each side by '4'. g = -5.75 Simplifying g = -5.75
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