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Simplifying 2t + -27 = -35 + 6t Reorder the terms: -27 + 2t = -35 + 6t Solving -27 + 2t = -35 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -27 + 2t + -6t = -35 + 6t + -6t Combine like terms: 2t + -6t = -4t -27 + -4t = -35 + 6t + -6t Combine like terms: 6t + -6t = 0 -27 + -4t = -35 + 0 -27 + -4t = -35 Add '27' to each side of the equation. -27 + 27 + -4t = -35 + 27 Combine like terms: -27 + 27 = 0 0 + -4t = -35 + 27 -4t = -35 + 27 Combine like terms: -35 + 27 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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