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Simplifying 8t + 6 = 11t + -45 Reorder the terms: 6 + 8t = 11t + -45 Reorder the terms: 6 + 8t = -45 + 11t Solving 6 + 8t = -45 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 6 + 8t + -11t = -45 + 11t + -11t Combine like terms: 8t + -11t = -3t 6 + -3t = -45 + 11t + -11t Combine like terms: 11t + -11t = 0 6 + -3t = -45 + 0 6 + -3t = -45 Add '-6' to each side of the equation. 6 + -6 + -3t = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = -45 + -6 -3t = -45 + -6 Combine like terms: -45 + -6 = -51 -3t = -51 Divide each side by '-3'. t = 17 Simplifying t = 17
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