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Simplifying 7(9g + -6) + -1(2g + -9) = 0 Reorder the terms: 7(-6 + 9g) + -1(2g + -9) = 0 (-6 * 7 + 9g * 7) + -1(2g + -9) = 0 (-42 + 63g) + -1(2g + -9) = 0 Reorder the terms: -42 + 63g + -1(-9 + 2g) = 0 -42 + 63g + (-9 * -1 + 2g * -1) = 0 -42 + 63g + (9 + -2g) = 0 Reorder the terms: -42 + 9 + 63g + -2g = 0 Combine like terms: -42 + 9 = -33 -33 + 63g + -2g = 0 Combine like terms: 63g + -2g = 61g -33 + 61g = 0 Solving -33 + 61g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 61g = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 61g = 0 + 33 61g = 0 + 33 Combine like terms: 0 + 33 = 33 61g = 33 Divide each side by '61'. g = 0.5409836066 Simplifying g = 0.5409836066
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