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Simplifying 5t + -14 = 7t + 15 Reorder the terms: -14 + 5t = 7t + 15 Reorder the terms: -14 + 5t = 15 + 7t Solving -14 + 5t = 15 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -14 + 5t + -7t = 15 + 7t + -7t Combine like terms: 5t + -7t = -2t -14 + -2t = 15 + 7t + -7t Combine like terms: 7t + -7t = 0 -14 + -2t = 15 + 0 -14 + -2t = 15 Add '14' to each side of the equation. -14 + 14 + -2t = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -2t = 15 + 14 -2t = 15 + 14 Combine like terms: 15 + 14 = 29 -2t = 29 Divide each side by '-2'. t = -14.5 Simplifying t = -14.5
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