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Simplifying 15x + 712g + -278 = 771 + -293g + 10(3) + 5x Reorder the terms: -278 + 712g + 15x = 771 + -293g + 10(3) + 5x Multiply 10 * 3 -278 + 712g + 15x = 771 + -293g + 30 + 5x Reorder the terms: -278 + 712g + 15x = 771 + 30 + -293g + 5x Combine like terms: 771 + 30 = 801 -278 + 712g + 15x = 801 + -293g + 5x Solving -278 + 712g + 15x = 801 + -293g + 5x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '293g' to each side of the equation. -278 + 712g + 293g + 15x = 801 + -293g + 293g + 5x Combine like terms: 712g + 293g = 1005g -278 + 1005g + 15x = 801 + -293g + 293g + 5x Combine like terms: -293g + 293g = 0 -278 + 1005g + 15x = 801 + 0 + 5x -278 + 1005g + 15x = 801 + 5x Add '278' to each side of the equation. -278 + 1005g + 278 + 15x = 801 + 278 + 5x Reorder the terms: -278 + 278 + 1005g + 15x = 801 + 278 + 5x Combine like terms: -278 + 278 = 0 0 + 1005g + 15x = 801 + 278 + 5x 1005g + 15x = 801 + 278 + 5x Combine like terms: 801 + 278 = 1079 1005g + 15x = 1079 + 5x Add '-15x' to each side of the equation. 1005g + 15x + -15x = 1079 + 5x + -15x Combine like terms: 15x + -15x = 0 1005g + 0 = 1079 + 5x + -15x 1005g = 1079 + 5x + -15x Combine like terms: 5x + -15x = -10x 1005g = 1079 + -10x Divide each side by '1005'. g = 1.073631841 + -0.009950248756x Simplifying g = 1.073631841 + -0.009950248756x
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