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Simplifying 37 + -1t = 2(4t + -13) Reorder the terms: 37 + -1t = 2(-13 + 4t) 37 + -1t = (-13 * 2 + 4t * 2) 37 + -1t = (-26 + 8t) Solving 37 + -1t = -26 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 37 + -1t + -8t = -26 + 8t + -8t Combine like terms: -1t + -8t = -9t 37 + -9t = -26 + 8t + -8t Combine like terms: 8t + -8t = 0 37 + -9t = -26 + 0 37 + -9t = -26 Add '-37' to each side of the equation. 37 + -37 + -9t = -26 + -37 Combine like terms: 37 + -37 = 0 0 + -9t = -26 + -37 -9t = -26 + -37 Combine like terms: -26 + -37 = -63 -9t = -63 Divide each side by '-9'. t = 7 Simplifying t = 7
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