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Simplifying 4(t + -1) + -3(2t + -1) = 4 + -8(3t + 1) Reorder the terms: 4(-1 + t) + -3(2t + -1) = 4 + -8(3t + 1) (-1 * 4 + t * 4) + -3(2t + -1) = 4 + -8(3t + 1) (-4 + 4t) + -3(2t + -1) = 4 + -8(3t + 1) Reorder the terms: -4 + 4t + -3(-1 + 2t) = 4 + -8(3t + 1) -4 + 4t + (-1 * -3 + 2t * -3) = 4 + -8(3t + 1) -4 + 4t + (3 + -6t) = 4 + -8(3t + 1) Reorder the terms: -4 + 3 + 4t + -6t = 4 + -8(3t + 1) Combine like terms: -4 + 3 = -1 -1 + 4t + -6t = 4 + -8(3t + 1) Combine like terms: 4t + -6t = -2t -1 + -2t = 4 + -8(3t + 1) Reorder the terms: -1 + -2t = 4 + -8(1 + 3t) -1 + -2t = 4 + (1 * -8 + 3t * -8) -1 + -2t = 4 + (-8 + -24t) Combine like terms: 4 + -8 = -4 -1 + -2t = -4 + -24t Solving -1 + -2t = -4 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. -1 + -2t + 24t = -4 + -24t + 24t Combine like terms: -2t + 24t = 22t -1 + 22t = -4 + -24t + 24t Combine like terms: -24t + 24t = 0 -1 + 22t = -4 + 0 -1 + 22t = -4 Add '1' to each side of the equation. -1 + 1 + 22t = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 22t = -4 + 1 22t = -4 + 1 Combine like terms: -4 + 1 = -3 22t = -3 Divide each side by '22'. t = -0.1363636364 Simplifying t = -0.1363636364
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