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Simplifying 1t + 20 = 7t + -14 Reorder the terms: 20 + 1t = 7t + -14 Reorder the terms: 20 + 1t = -14 + 7t Solving 20 + 1t = -14 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + 1t + -7t = -14 + 7t + -7t Combine like terms: 1t + -7t = -6t 20 + -6t = -14 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -6t = -14 + 0 20 + -6t = -14 Add '-20' to each side of the equation. 20 + -20 + -6t = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -6t = -14 + -20 -6t = -14 + -20 Combine like terms: -14 + -20 = -34 -6t = -34 Divide each side by '-6'. t = 5.666666667 Simplifying t = 5.666666667
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