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Simplifying 5t + -2 = 3t + -8 + 8t Reorder the terms: -2 + 5t = 3t + -8 + 8t Reorder the terms: -2 + 5t = -8 + 3t + 8t Combine like terms: 3t + 8t = 11t -2 + 5t = -8 + 11t Solving -2 + 5t = -8 + 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. -2 + 5t + -11t = -8 + 11t + -11t Combine like terms: 5t + -11t = -6t -2 + -6t = -8 + 11t + -11t Combine like terms: 11t + -11t = 0 -2 + -6t = -8 + 0 -2 + -6t = -8 Add '2' to each side of the equation. -2 + 2 + -6t = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -6t = -8 + 2 -6t = -8 + 2 Combine like terms: -8 + 2 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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