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Simplifying -14 + 6t + 7 + -2t = 1 + 5t Reorder the terms: -14 + 7 + 6t + -2t = 1 + 5t Combine like terms: -14 + 7 = -7 -7 + 6t + -2t = 1 + 5t Combine like terms: 6t + -2t = 4t -7 + 4t = 1 + 5t Solving -7 + 4t = 1 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -7 + 4t + -5t = 1 + 5t + -5t Combine like terms: 4t + -5t = -1t -7 + -1t = 1 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + -1t = 1 + 0 -7 + -1t = 1 Add '7' to each side of the equation. -7 + 7 + -1t = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 1 + 7 -1t = 1 + 7 Combine like terms: 1 + 7 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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