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Simplifying 6t + 7 = -9t + 37 Reorder the terms: 7 + 6t = -9t + 37 Reorder the terms: 7 + 6t = 37 + -9t Solving 7 + 6t = 37 + -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 + 6t + 9t = 37 + -9t + 9t Combine like terms: 6t + 9t = 15t 7 + 15t = 37 + -9t + 9t Combine like terms: -9t + 9t = 0 7 + 15t = 37 + 0 7 + 15t = 37 Add '-7' to each side of the equation. 7 + -7 + 15t = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 15t = 37 + -7 15t = 37 + -7 Combine like terms: 37 + -7 = 30 15t = 30 Divide each side by '15'. t = 2 Simplifying t = 2
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