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Simplifying 3t + 4 = 5t + -6 Reorder the terms: 4 + 3t = 5t + -6 Reorder the terms: 4 + 3t = -6 + 5t Solving 4 + 3t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + 3t + -5t = -6 + 5t + -5t Combine like terms: 3t + -5t = -2t 4 + -2t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -2t = -6 + 0 4 + -2t = -6 Add '-4' to each side of the equation. 4 + -4 + -2t = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -6 + -4 -2t = -6 + -4 Combine like terms: -6 + -4 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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