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Simplifying 5 + -7t = 61 + t Solving 5 + -7t = 61 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 5 + -7t + -1t = 61 + t + -1t Combine like terms: -7t + -1t = -8t 5 + -8t = 61 + t + -1t Combine like terms: t + -1t = 0 5 + -8t = 61 + 0 5 + -8t = 61 Add '-5' to each side of the equation. 5 + -5 + -8t = 61 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = 61 + -5 -8t = 61 + -5 Combine like terms: 61 + -5 = 56 -8t = 56 Divide each side by '-8'. t = -7 Simplifying t = -7
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