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Simplifying 10t + -8 = 6t + -11 + -1(t + -13) Reorder the terms: -8 + 10t = 6t + -11 + -1(t + -13) Reorder the terms: -8 + 10t = 6t + -11 + -1(-13 + t) -8 + 10t = 6t + -11 + (-13 * -1 + t * -1) -8 + 10t = 6t + -11 + (13 + -1t) Reorder the terms: -8 + 10t = -11 + 13 + 6t + -1t Combine like terms: -11 + 13 = 2 -8 + 10t = 2 + 6t + -1t Combine like terms: 6t + -1t = 5t -8 + 10t = 2 + 5t Solving -8 + 10t = 2 + 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. -8 + 10t + -5t = 2 + 5t + -5t Combine like terms: 10t + -5t = 5t -8 + 5t = 2 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + 5t = 2 + 0 -8 + 5t = 2 Add '8' to each side of the equation. -8 + 8 + 5t = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 2 + 8 5t = 2 + 8 Combine like terms: 2 + 8 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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