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Simplifying 0.35(8g + -3) = 0.05(9g + -5) Reorder the terms: 0.35(-3 + 8g) = 0.05(9g + -5) (-3 * 0.35 + 8g * 0.35) = 0.05(9g + -5) (-1.05 + 2.8g) = 0.05(9g + -5) Reorder the terms: -1.05 + 2.8g = 0.05(-5 + 9g) -1.05 + 2.8g = (-5 * 0.05 + 9g * 0.05) -1.05 + 2.8g = (-0.25 + 0.45g) Solving -1.05 + 2.8g = -0.25 + 0.45g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.45g' to each side of the equation. -1.05 + 2.8g + -0.45g = -0.25 + 0.45g + -0.45g Combine like terms: 2.8g + -0.45g = 2.35g -1.05 + 2.35g = -0.25 + 0.45g + -0.45g Combine like terms: 0.45g + -0.45g = 0.00 -1.05 + 2.35g = -0.25 + 0.00 -1.05 + 2.35g = -0.25 Add '1.05' to each side of the equation. -1.05 + 1.05 + 2.35g = -0.25 + 1.05 Combine like terms: -1.05 + 1.05 = 0.00 0.00 + 2.35g = -0.25 + 1.05 2.35g = -0.25 + 1.05 Combine like terms: -0.25 + 1.05 = 0.8 2.35g = 0.8 Divide each side by '2.35'. g = 0.3404255319 Simplifying g = 0.3404255319
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