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Simplifying (2x + -3y + 5g) * 5 = 0 Reorder the terms: (5g + 2x + -3y) * 5 = 0 Reorder the terms for easier multiplication: 5(5g + 2x + -3y) = 0 (5g * 5 + 2x * 5 + -3y * 5) = 0 (25g + 10x + -15y) = 0 Solving 25g + 10x + -15y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10x' to each side of the equation. 25g + 10x + -10x + -15y = 0 + -10x Combine like terms: 10x + -10x = 0 25g + 0 + -15y = 0 + -10x 25g + -15y = 0 + -10x Remove the zero: 25g + -15y = -10x Add '15y' to each side of the equation. 25g + -15y + 15y = -10x + 15y Combine like terms: -15y + 15y = 0 25g + 0 = -10x + 15y 25g = -10x + 15y Divide each side by '25'. g = -0.4x + 0.6y Simplifying g = -0.4x + 0.6y
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