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Simplifying 46 + 1.5t = 70 + -1.5t Solving 46 + 1.5t = 70 + -1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5t' to each side of the equation. 46 + 1.5t + 1.5t = 70 + -1.5t + 1.5t Combine like terms: 1.5t + 1.5t = 3t 46 + 3t = 70 + -1.5t + 1.5t Combine like terms: -1.5t + 1.5t = 0.0 46 + 3t = 70 + 0.0 46 + 3t = 70 Add '-46' to each side of the equation. 46 + -46 + 3t = 70 + -46 Combine like terms: 46 + -46 = 0 0 + 3t = 70 + -46 3t = 70 + -46 Combine like terms: 70 + -46 = 24 3t = 24 Divide each side by '3'. t = 8 Simplifying t = 8
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