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Simplifying -5t + 40 = 5t + 30 Reorder the terms: 40 + -5t = 5t + 30 Reorder the terms: 40 + -5t = 30 + 5t Solving 40 + -5t = 30 + 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. 40 + -5t + -5t = 30 + 5t + -5t Combine like terms: -5t + -5t = -10t 40 + -10t = 30 + 5t + -5t Combine like terms: 5t + -5t = 0 40 + -10t = 30 + 0 40 + -10t = 30 Add '-40' to each side of the equation. 40 + -40 + -10t = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -10t = 30 + -40 -10t = 30 + -40 Combine like terms: 30 + -40 = -10 -10t = -10 Divide each side by '-10'. t = 1 Simplifying t = 1
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