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Simplifying -2t + 7 = -10 + -4 + 5t Reorder the terms: 7 + -2t = -10 + -4 + 5t Combine like terms: -10 + -4 = -14 7 + -2t = -14 + 5t Solving 7 + -2t = -14 + 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 + -2t + -5t = -14 + 5t + -5t Combine like terms: -2t + -5t = -7t 7 + -7t = -14 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + -7t = -14 + 0 7 + -7t = -14 Add '-7' to each side of the equation. 7 + -7 + -7t = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -7t = -14 + -7 -7t = -14 + -7 Combine like terms: -14 + -7 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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