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Simplifying 4t + 2 = 5t + -8 Reorder the terms: 2 + 4t = 5t + -8 Reorder the terms: 2 + 4t = -8 + 5t Solving 2 + 4t = -8 + 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. 2 + 4t + -5t = -8 + 5t + -5t Combine like terms: 4t + -5t = -1t 2 + -1t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -1t = -8 + 0 2 + -1t = -8 Add '-2' to each side of the equation. 2 + -2 + -1t = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = -8 + -2 -1t = -8 + -2 Combine like terms: -8 + -2 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10
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