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Simplifying (6 + -12) * t + (4 + -21 + -9 + -8) = 0 Combine like terms: 6 + -12 = -6 (-6) * t + (4 + -21 + -9 + -8) = 0 Combine like terms: 4 + -21 = -17 -6t + (-17 + -9 + -8) = 0 Combine like terms: -17 + -9 = -26 -6t + (-26 + -8) = 0 Combine like terms: -26 + -8 = -34 -6t + (-34) = 0 -6t + -34 = 0 Reorder the terms: -34 + -6t = 0 Solving -34 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -6t = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -6t = 0 + 34 -6t = 0 + 34 Combine like terms: 0 + 34 = 34 -6t = 34 Divide each side by '-6'. t = -5.666666667 Simplifying t = -5.666666667
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