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Simplifying -5t + 11 = t + -7 + 3t Reorder the terms: 11 + -5t = t + -7 + 3t Reorder the terms: 11 + -5t = -7 + t + 3t Combine like terms: t + 3t = 4t 11 + -5t = -7 + 4t Solving 11 + -5t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 11 + -5t + -4t = -7 + 4t + -4t Combine like terms: -5t + -4t = -9t 11 + -9t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 11 + -9t = -7 + 0 11 + -9t = -7 Add '-11' to each side of the equation. 11 + -11 + -9t = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -9t = -7 + -11 -9t = -7 + -11 Combine like terms: -7 + -11 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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