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Simplifying t + (t + 2) + (t + 4) = -84 Reorder the terms: t + (2 + t) + (t + 4) = -84 Remove parenthesis around (2 + t) t + 2 + t + (t + 4) = -84 Reorder the terms: t + 2 + t + (4 + t) = -84 Remove parenthesis around (4 + t) t + 2 + t + 4 + t = -84 Reorder the terms: 2 + 4 + t + t + t = -84 Combine like terms: 2 + 4 = 6 6 + t + t + t = -84 Combine like terms: t + t = 2t 6 + 2t + t = -84 Combine like terms: 2t + t = 3t 6 + 3t = -84 Solving 6 + 3t = -84 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 + 3t = -84 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = -84 + -6 3t = -84 + -6 Combine like terms: -84 + -6 = -90 3t = -90 Divide each side by '3'. t = -30 Simplifying t = -30
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