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Simplifying -3t + 3 + 6t = 7t + -5 Reorder the terms: 3 + -3t + 6t = 7t + -5 Combine like terms: -3t + 6t = 3t 3 + 3t = 7t + -5 Reorder the terms: 3 + 3t = -5 + 7t Solving 3 + 3t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3 + 3t + -7t = -5 + 7t + -7t Combine like terms: 3t + -7t = -4t 3 + -4t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -4t = -5 + 0 3 + -4t = -5 Add '-3' to each side of the equation. 3 + -3 + -4t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -5 + -3 -4t = -5 + -3 Combine like terms: -5 + -3 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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