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Simplifying 15(t) + 20 = 10(t) + 30 Reorder the terms: 20 + 15t = 10(t) + 30 Reorder the terms: 20 + 15t = 30 + 10t Solving 20 + 15t = 30 + 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. 20 + 15t + -10t = 30 + 10t + -10t Combine like terms: 15t + -10t = 5t 20 + 5t = 30 + 10t + -10t Combine like terms: 10t + -10t = 0 20 + 5t = 30 + 0 20 + 5t = 30 Add '-20' to each side of the equation. 20 + -20 + 5t = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 5t = 30 + -20 5t = 30 + -20 Combine like terms: 30 + -20 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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