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Simplifying 8t + -7 = 14t + -32 Reorder the terms: -7 + 8t = 14t + -32 Reorder the terms: -7 + 8t = -32 + 14t Solving -7 + 8t = -32 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -7 + 8t + -14t = -32 + 14t + -14t Combine like terms: 8t + -14t = -6t -7 + -6t = -32 + 14t + -14t Combine like terms: 14t + -14t = 0 -7 + -6t = -32 + 0 -7 + -6t = -32 Add '7' to each side of the equation. -7 + 7 + -6t = -32 + 7 Combine like terms: -7 + 7 = 0 0 + -6t = -32 + 7 -6t = -32 + 7 Combine like terms: -32 + 7 = -25 -6t = -25 Divide each side by '-6'. t = 4.166666667 Simplifying t = 4.166666667
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