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Simplifying 14 + -5t + -15 = 8t + 13 + -6t Reorder the terms: 14 + -15 + -5t = 8t + 13 + -6t Combine like terms: 14 + -15 = -1 -1 + -5t = 8t + 13 + -6t Reorder the terms: -1 + -5t = 13 + 8t + -6t Combine like terms: 8t + -6t = 2t -1 + -5t = 13 + 2t Solving -1 + -5t = 13 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -1 + -5t + -2t = 13 + 2t + -2t Combine like terms: -5t + -2t = -7t -1 + -7t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + -7t = 13 + 0 -1 + -7t = 13 Add '1' to each side of the equation. -1 + 1 + -7t = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -7t = 13 + 1 -7t = 13 + 1 Combine like terms: 13 + 1 = 14 -7t = 14 Divide each side by '-7'. t = -2 Simplifying t = -2
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