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Simplifying 34h + 6g + 34r + -46g + 4h + -45r = 1453 Reorder the terms: 6g + -46g + 34h + 4h + 34r + -45r = 1453 Combine like terms: 6g + -46g = -40g -40g + 34h + 4h + 34r + -45r = 1453 Combine like terms: 34h + 4h = 38h -40g + 38h + 34r + -45r = 1453 Combine like terms: 34r + -45r = -11r -40g + 38h + -11r = 1453 Solving -40g + 38h + -11r = 1453 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-38h' to each side of the equation. -40g + 38h + -38h + -11r = 1453 + -38h Combine like terms: 38h + -38h = 0 -40g + 0 + -11r = 1453 + -38h -40g + -11r = 1453 + -38h Add '11r' to each side of the equation. -40g + -11r + 11r = 1453 + -38h + 11r Combine like terms: -11r + 11r = 0 -40g + 0 = 1453 + -38h + 11r -40g = 1453 + -38h + 11r Divide each side by '-40'. g = -36.325 + 0.95h + -0.275r Simplifying g = -36.325 + 0.95h + -0.275r
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