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Simplifying -5t + 9 + -2t = -7 + -5t Reorder the terms: 9 + -5t + -2t = -7 + -5t Combine like terms: -5t + -2t = -7t 9 + -7t = -7 + -5t Solving 9 + -7t = -7 + -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. 9 + -7t + 5t = -7 + -5t + 5t Combine like terms: -7t + 5t = -2t 9 + -2t = -7 + -5t + 5t Combine like terms: -5t + 5t = 0 9 + -2t = -7 + 0 9 + -2t = -7 Add '-9' to each side of the equation. 9 + -9 + -2t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = -7 + -9 -2t = -7 + -9 Combine like terms: -7 + -9 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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