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Simplifying 14 + -8t + -15 = 8t + 32 + -5t Reorder the terms: 14 + -15 + -8t = 8t + 32 + -5t Combine like terms: 14 + -15 = -1 -1 + -8t = 8t + 32 + -5t Reorder the terms: -1 + -8t = 32 + 8t + -5t Combine like terms: 8t + -5t = 3t -1 + -8t = 32 + 3t Solving -1 + -8t = 32 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -1 + -8t + -3t = 32 + 3t + -3t Combine like terms: -8t + -3t = -11t -1 + -11t = 32 + 3t + -3t Combine like terms: 3t + -3t = 0 -1 + -11t = 32 + 0 -1 + -11t = 32 Add '1' to each side of the equation. -1 + 1 + -11t = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -11t = 32 + 1 -11t = 32 + 1 Combine like terms: 32 + 1 = 33 -11t = 33 Divide each side by '-11'. t = -3 Simplifying t = -3
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