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Simplifying 3(t + -1) + -7(4t + -1) = 4 + -8(5t + 1) Reorder the terms: 3(-1 + t) + -7(4t + -1) = 4 + -8(5t + 1) (-1 * 3 + t * 3) + -7(4t + -1) = 4 + -8(5t + 1) (-3 + 3t) + -7(4t + -1) = 4 + -8(5t + 1) Reorder the terms: -3 + 3t + -7(-1 + 4t) = 4 + -8(5t + 1) -3 + 3t + (-1 * -7 + 4t * -7) = 4 + -8(5t + 1) -3 + 3t + (7 + -28t) = 4 + -8(5t + 1) Reorder the terms: -3 + 7 + 3t + -28t = 4 + -8(5t + 1) Combine like terms: -3 + 7 = 4 4 + 3t + -28t = 4 + -8(5t + 1) Combine like terms: 3t + -28t = -25t 4 + -25t = 4 + -8(5t + 1) Reorder the terms: 4 + -25t = 4 + -8(1 + 5t) 4 + -25t = 4 + (1 * -8 + 5t * -8) 4 + -25t = 4 + (-8 + -40t) Combine like terms: 4 + -8 = -4 4 + -25t = -4 + -40t Solving 4 + -25t = -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. 4 + -25t + 40t = -4 + -40t + 40t Combine like terms: -25t + 40t = 15t 4 + 15t = -4 + -40t + 40t Combine like terms: -40t + 40t = 0 4 + 15t = -4 + 0 4 + 15t = -4 Add '-4' to each side of the equation. 4 + -4 + 15t = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 15t = -4 + -4 15t = -4 + -4 Combine like terms: -4 + -4 = -8 15t = -8 Divide each side by '15'. t = -0.5333333333 Simplifying t = -0.5333333333
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