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Simplifying 70t + 10 = 5t + 40 + 5t + -30 Reorder the terms: 10 + 70t = 5t + 40 + 5t + -30 Reorder the terms: 10 + 70t = 40 + -30 + 5t + 5t Combine like terms: 40 + -30 = 10 10 + 70t = 10 + 5t + 5t Combine like terms: 5t + 5t = 10t 10 + 70t = 10 + 10t Add '-10' to each side of the equation. 10 + -10 + 70t = 10 + -10 + 10t Combine like terms: 10 + -10 = 0 0 + 70t = 10 + -10 + 10t 70t = 10 + -10 + 10t Combine like terms: 10 + -10 = 0 70t = 0 + 10t 70t = 10t Solving 70t = 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 70t + -10t = 10t + -10t Combine like terms: 70t + -10t = 60t 60t = 10t + -10t Combine like terms: 10t + -10t = 0 60t = 0 Divide each side by '60'. t = 0 Simplifying t = 0
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