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Simplifying 10(5g + 2h + -3) + -4(3g + -4h + 2) = 0 Reorder the terms: 10(-3 + 5g + 2h) + -4(3g + -4h + 2) = 0 (-3 * 10 + 5g * 10 + 2h * 10) + -4(3g + -4h + 2) = 0 (-30 + 50g + 20h) + -4(3g + -4h + 2) = 0 Reorder the terms: -30 + 50g + 20h + -4(2 + 3g + -4h) = 0 -30 + 50g + 20h + (2 * -4 + 3g * -4 + -4h * -4) = 0 -30 + 50g + 20h + (-8 + -12g + 16h) = 0 Reorder the terms: -30 + -8 + 50g + -12g + 20h + 16h = 0 Combine like terms: -30 + -8 = -38 -38 + 50g + -12g + 20h + 16h = 0 Combine like terms: 50g + -12g = 38g -38 + 38g + 20h + 16h = 0 Combine like terms: 20h + 16h = 36h -38 + 38g + 36h = 0 Solving -38 + 38g + 36h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38g + 38 + 36h = 0 + 38 Reorder the terms: -38 + 38 + 38g + 36h = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 38g + 36h = 0 + 38 38g + 36h = 0 + 38 Combine like terms: 0 + 38 = 38 38g + 36h = 38 Add '-36h' to each side of the equation. 38g + 36h + -36h = 38 + -36h Combine like terms: 36h + -36h = 0 38g + 0 = 38 + -36h 38g = 38 + -36h Divide each side by '38'. g = 1 + -0.9473684211h Simplifying g = 1 + -0.9473684211h
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