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Simplifying 8(3t + -2) = 4(t + -1) Reorder the terms: 8(-2 + 3t) = 4(t + -1) (-2 * 8 + 3t * 8) = 4(t + -1) (-16 + 24t) = 4(t + -1) Reorder the terms: -16 + 24t = 4(-1 + t) -16 + 24t = (-1 * 4 + t * 4) -16 + 24t = (-4 + 4t) Solving -16 + 24t = -4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -16 + 24t + -4t = -4 + 4t + -4t Combine like terms: 24t + -4t = 20t -16 + 20t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -16 + 20t = -4 + 0 -16 + 20t = -4 Add '16' to each side of the equation. -16 + 16 + 20t = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 20t = -4 + 16 20t = -4 + 16 Combine like terms: -4 + 16 = 12 20t = 12 Divide each side by '20'. t = 0.6 Simplifying t = 0.6
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