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Simplifying 3t + 4(2 + -1t) = 4t + 5 3t + (2 * 4 + -1t * 4) = 4t + 5 3t + (8 + -4t) = 4t + 5 Reorder the terms: 8 + 3t + -4t = 4t + 5 Combine like terms: 3t + -4t = -1t 8 + -1t = 4t + 5 Reorder the terms: 8 + -1t = 5 + 4t Solving 8 + -1t = 5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -1t + -4t = 5 + 4t + -4t Combine like terms: -1t + -4t = -5t 8 + -5t = 5 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -5t = 5 + 0 8 + -5t = 5 Add '-8' to each side of the equation. 8 + -8 + -5t = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 5 + -8 -5t = 5 + -8 Combine like terms: 5 + -8 = -3 -5t = -3 Divide each side by '-5'. t = 0.6 Simplifying t = 0.6
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