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Simplifying 2(3t + -1) + 5 = t + 3 Reorder the terms: 2(-1 + 3t) + 5 = t + 3 (-1 * 2 + 3t * 2) + 5 = t + 3 (-2 + 6t) + 5 = t + 3 Reorder the terms: -2 + 5 + 6t = t + 3 Combine like terms: -2 + 5 = 3 3 + 6t = t + 3 Reorder the terms: 3 + 6t = 3 + t Add '-3' to each side of the equation. 3 + -3 + 6t = 3 + -3 + t Combine like terms: 3 + -3 = 0 0 + 6t = 3 + -3 + t 6t = 3 + -3 + t Combine like terms: 3 + -3 = 0 6t = 0 + t 6t = t Solving 6t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 6t + -1t = t + -1t Combine like terms: 6t + -1t = 5t 5t = t + -1t Combine like terms: t + -1t = 0 5t = 0 Divide each side by '5'. t = 0 Simplifying t = 0
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