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Simplifying 8 + -3(2t + 1) = 5(t + 2) Reorder the terms: 8 + -3(1 + 2t) = 5(t + 2) 8 + (1 * -3 + 2t * -3) = 5(t + 2) 8 + (-3 + -6t) = 5(t + 2) Combine like terms: 8 + -3 = 5 5 + -6t = 5(t + 2) Reorder the terms: 5 + -6t = 5(2 + t) 5 + -6t = (2 * 5 + t * 5) 5 + -6t = (10 + 5t) Solving 5 + -6t = 10 + 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. 5 + -6t + -5t = 10 + 5t + -5t Combine like terms: -6t + -5t = -11t 5 + -11t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -11t = 10 + 0 5 + -11t = 10 Add '-5' to each side of the equation. 5 + -5 + -11t = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -11t = 10 + -5 -11t = 10 + -5 Combine like terms: 10 + -5 = 5 -11t = 5 Divide each side by '-11'. t = -0.4545454545 Simplifying t = -0.4545454545
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