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Simplifying 5 + -1t = 7t + 21 Reorder the terms: 5 + -1t = 21 + 7t Solving 5 + -1t = 21 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 5 + -1t + -7t = 21 + 7t + -7t Combine like terms: -1t + -7t = -8t 5 + -8t = 21 + 7t + -7t Combine like terms: 7t + -7t = 0 5 + -8t = 21 + 0 5 + -8t = 21 Add '-5' to each side of the equation. 5 + -5 + -8t = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = 21 + -5 -8t = 21 + -5 Combine like terms: 21 + -5 = 16 -8t = 16 Divide each side by '-8'. t = -2 Simplifying t = -2
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