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Simplifying 8 + -7t = 32 + t Solving 8 + -7t = 32 + 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. 8 + -7t + -1t = 32 + t + -1t Combine like terms: -7t + -1t = -8t 8 + -8t = 32 + t + -1t Combine like terms: t + -1t = 0 8 + -8t = 32 + 0 8 + -8t = 32 Add '-8' to each side of the equation. 8 + -8 + -8t = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = 32 + -8 -8t = 32 + -8 Combine like terms: 32 + -8 = 24 -8t = 24 Divide each side by '-8'. t = -3 Simplifying t = -3
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