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Simplifying 5(g + 8) + -7 = 204 Reorder the terms: 5(8 + g) + -7 = 204 (8 * 5 + g * 5) + -7 = 204 (40 + 5g) + -7 = 204 Reorder the terms: 40 + -7 + 5g = 204 Combine like terms: 40 + -7 = 33 33 + 5g = 204 Solving 33 + 5g = 204 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 5g = 204 + -33 Combine like terms: 33 + -33 = 0 0 + 5g = 204 + -33 5g = 204 + -33 Combine like terms: 204 + -33 = 171 5g = 171 Divide each side by '5'. g = 34.2 Simplifying g = 34.2
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