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Simplifying -6t + 42 + -1t + 7 = 7 Reorder the terms: 42 + 7 + -6t + -1t = 7 Combine like terms: 42 + 7 = 49 49 + -6t + -1t = 7 Combine like terms: -6t + -1t = -7t 49 + -7t = 7 Solving 49 + -7t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -7t = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -7t = 7 + -49 -7t = 7 + -49 Combine like terms: 7 + -49 = -42 -7t = -42 Divide each side by '-7'. t = 6 Simplifying t = 6
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