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Simplifying 32 + 7t = t + 4 Reorder the terms: 32 + 7t = 4 + t Solving 32 + 7t = 4 + 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. 32 + 7t + -1t = 4 + t + -1t Combine like terms: 7t + -1t = 6t 32 + 6t = 4 + t + -1t Combine like terms: t + -1t = 0 32 + 6t = 4 + 0 32 + 6t = 4 Add '-32' to each side of the equation. 32 + -32 + 6t = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 6t = 4 + -32 6t = 4 + -32 Combine like terms: 4 + -32 = -28 6t = -28 Divide each side by '6'. t = -4.666666667 Simplifying t = -4.666666667
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