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Simplifying 4t + 14 = 30t + 7 Reorder the terms: 14 + 4t = 30t + 7 Reorder the terms: 14 + 4t = 7 + 30t Solving 14 + 4t = 7 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 14 + 4t + -30t = 7 + 30t + -30t Combine like terms: 4t + -30t = -26t 14 + -26t = 7 + 30t + -30t Combine like terms: 30t + -30t = 0 14 + -26t = 7 + 0 14 + -26t = 7 Add '-14' to each side of the equation. 14 + -14 + -26t = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -26t = 7 + -14 -26t = 7 + -14 Combine like terms: 7 + -14 = -7 -26t = -7 Divide each side by '-26'. t = 0.2692307692 Simplifying t = 0.2692307692
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