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Simplifying 2(t + -1) + -7(2t + -1) = 4 + -8(5t + 1) Reorder the terms: 2(-1 + t) + -7(2t + -1) = 4 + -8(5t + 1) (-1 * 2 + t * 2) + -7(2t + -1) = 4 + -8(5t + 1) (-2 + 2t) + -7(2t + -1) = 4 + -8(5t + 1) Reorder the terms: -2 + 2t + -7(-1 + 2t) = 4 + -8(5t + 1) -2 + 2t + (-1 * -7 + 2t * -7) = 4 + -8(5t + 1) -2 + 2t + (7 + -14t) = 4 + -8(5t + 1) Reorder the terms: -2 + 7 + 2t + -14t = 4 + -8(5t + 1) Combine like terms: -2 + 7 = 5 5 + 2t + -14t = 4 + -8(5t + 1) Combine like terms: 2t + -14t = -12t 5 + -12t = 4 + -8(5t + 1) Reorder the terms: 5 + -12t = 4 + -8(1 + 5t) 5 + -12t = 4 + (1 * -8 + 5t * -8) 5 + -12t = 4 + (-8 + -40t) Combine like terms: 4 + -8 = -4 5 + -12t = -4 + -40t Solving 5 + -12t = -4 + -40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40t' to each side of the equation. 5 + -12t + 40t = -4 + -40t + 40t Combine like terms: -12t + 40t = 28t 5 + 28t = -4 + -40t + 40t Combine like terms: -40t + 40t = 0 5 + 28t = -4 + 0 5 + 28t = -4 Add '-5' to each side of the equation. 5 + -5 + 28t = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 28t = -4 + -5 28t = -4 + -5 Combine like terms: -4 + -5 = -9 28t = -9 Divide each side by '28'. t = -0.3214285714 Simplifying t = -0.3214285714
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