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Simplifying 42 = 6t + -13t Combine like terms: 6t + -13t = -7t 42 = -7t Solving 42 = -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. 42 + 7t = -7t + 7t Combine like terms: -7t + 7t = 0 42 + 7t = 0 Add '-42' to each side of the equation. 42 + -42 + 7t = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7t = 0 + -42 7t = 0 + -42 Combine like terms: 0 + -42 = -42 7t = -42 Divide each side by '7'. t = -6 Simplifying t = -6
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