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Simplifying 4t + 7 = 9t + -13 Reorder the terms: 7 + 4t = 9t + -13 Reorder the terms: 7 + 4t = -13 + 9t Solving 7 + 4t = -13 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 7 + 4t + -9t = -13 + 9t + -9t Combine like terms: 4t + -9t = -5t 7 + -5t = -13 + 9t + -9t Combine like terms: 9t + -9t = 0 7 + -5t = -13 + 0 7 + -5t = -13 Add '-7' to each side of the equation. 7 + -7 + -5t = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = -13 + -7 -5t = -13 + -7 Combine like terms: -13 + -7 = -20 -5t = -20 Divide each side by '-5'. t = 4 Simplifying t = 4
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