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Simplifying 30t + -13 = 69t + -91 Reorder the terms: -13 + 30t = 69t + -91 Reorder the terms: -13 + 30t = -91 + 69t Solving -13 + 30t = -91 + 69t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-69t' to each side of the equation. -13 + 30t + -69t = -91 + 69t + -69t Combine like terms: 30t + -69t = -39t -13 + -39t = -91 + 69t + -69t Combine like terms: 69t + -69t = 0 -13 + -39t = -91 + 0 -13 + -39t = -91 Add '13' to each side of the equation. -13 + 13 + -39t = -91 + 13 Combine like terms: -13 + 13 = 0 0 + -39t = -91 + 13 -39t = -91 + 13 Combine like terms: -91 + 13 = -78 -39t = -78 Divide each side by '-39'. t = 2 Simplifying t = 2
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