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Simplifying -24t + 40 = 6t + -12 Reorder the terms: 40 + -24t = 6t + -12 Reorder the terms: 40 + -24t = -12 + 6t Solving 40 + -24t = -12 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 40 + -24t + -6t = -12 + 6t + -6t Combine like terms: -24t + -6t = -30t 40 + -30t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 40 + -30t = -12 + 0 40 + -30t = -12 Add '-40' to each side of the equation. 40 + -40 + -30t = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -30t = -12 + -40 -30t = -12 + -40 Combine like terms: -12 + -40 = -52 -30t = -52 Divide each side by '-30'. t = 1.733333333 Simplifying t = 1.733333333
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