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Simplifying t * 2 + 6t + -36 = 3t + -8 Reorder the terms for easier multiplication: 2t + 6t + -36 = 3t + -8 Reorder the terms: -36 + 2t + 6t = 3t + -8 Combine like terms: 2t + 6t = 8t -36 + 8t = 3t + -8 Reorder the terms: -36 + 8t = -8 + 3t Solving -36 + 8t = -8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -36 + 8t + -3t = -8 + 3t + -3t Combine like terms: 8t + -3t = 5t -36 + 5t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 -36 + 5t = -8 + 0 -36 + 5t = -8 Add '36' to each side of the equation. -36 + 36 + 5t = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 5t = -8 + 36 5t = -8 + 36 Combine like terms: -8 + 36 = 28 5t = 28 Divide each side by '5'. t = 5.6 Simplifying t = 5.6
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