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Simplifying 42 = -2t + 9t Combine like terms: -2t + 9t = 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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