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Simplifying 2t + 9(-6t) + -6 = 2 Remove parenthesis around (-6t) 2t + 9 * -6t + -6 = 2 Multiply 9 * -6 2t + -54t + -6 = 2 Reorder the terms: -6 + 2t + -54t = 2 Combine like terms: 2t + -54t = -52t -6 + -52t = 2 Solving -6 + -52t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -52t = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -52t = 2 + 6 -52t = 2 + 6 Combine like terms: 2 + 6 = 8 -52t = 8 Divide each side by '-52'. t = -0.1538461538 Simplifying t = -0.1538461538
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