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Simplifying 20 + -4t = 38(3 + -1t) 20 + -4t = (3 * 38 + -1t * 38) 20 + -4t = (114 + -38t) Solving 20 + -4t = 114 + -38t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '38t' to each side of the equation. 20 + -4t + 38t = 114 + -38t + 38t Combine like terms: -4t + 38t = 34t 20 + 34t = 114 + -38t + 38t Combine like terms: -38t + 38t = 0 20 + 34t = 114 + 0 20 + 34t = 114 Add '-20' to each side of the equation. 20 + -20 + 34t = 114 + -20 Combine like terms: 20 + -20 = 0 0 + 34t = 114 + -20 34t = 114 + -20 Combine like terms: 114 + -20 = 94 34t = 94 Divide each side by '34'. t = 2.764705882 Simplifying t = 2.764705882
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