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Simplifying -8t + -3t + 2 = -5t + -6 Reorder the terms: 2 + -8t + -3t = -5t + -6 Combine like terms: -8t + -3t = -11t 2 + -11t = -5t + -6 Reorder the terms: 2 + -11t = -6 + -5t Solving 2 + -11t = -6 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 2 + -11t + 5t = -6 + -5t + 5t Combine like terms: -11t + 5t = -6t 2 + -6t = -6 + -5t + 5t Combine like terms: -5t + 5t = 0 2 + -6t = -6 + 0 2 + -6t = -6 Add '-2' to each side of the equation. 2 + -2 + -6t = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -6t = -6 + -2 -6t = -6 + -2 Combine like terms: -6 + -2 = -8 -6t = -8 Divide each side by '-6'. t = 1.333333333 Simplifying t = 1.333333333
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