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Simplifying 9(t) + -1g(2) = 3t2 + -5t + 6 Reorder the terms for easier multiplication: 9t + -1 * 2g = 3t2 + -5t + 6 Multiply -1 * 2 9t + -2g = 3t2 + -5t + 6 Reorder the terms: -2g + 9t = 3t2 + -5t + 6 Reorder the terms: -2g + 9t = 6 + -5t + 3t2 Solving -2g + 9t = 6 + -5t + 3t2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9t' to each side of the equation. -2g + 9t + -9t = 6 + -5t + -9t + 3t2 Combine like terms: 9t + -9t = 0 -2g + 0 = 6 + -5t + -9t + 3t2 -2g = 6 + -5t + -9t + 3t2 Combine like terms: -5t + -9t = -14t -2g = 6 + -14t + 3t2 Divide each side by '-2'. g = -3 + 7t + -1.5t2 Simplifying g = -3 + 7t + -1.5t2
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