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Simplifying 10t + 3 = 5t + -4 Reorder the terms: 3 + 10t = 5t + -4 Reorder the terms: 3 + 10t = -4 + 5t Solving 3 + 10t = -4 + 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. 3 + 10t + -5t = -4 + 5t + -5t Combine like terms: 10t + -5t = 5t 3 + 5t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + 5t = -4 + 0 3 + 5t = -4 Add '-3' to each side of the equation. 3 + -3 + 5t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = -4 + -3 5t = -4 + -3 Combine like terms: -4 + -3 = -7 5t = -7 Divide each side by '5'. t = -1.4 Simplifying t = -1.4
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