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Simplifying -4 + 46 = 7(3t + 6) Combine like terms: -4 + 46 = 42 42 = 7(3t + 6) Reorder the terms: 42 = 7(6 + 3t) 42 = (6 * 7 + 3t * 7) 42 = (42 + 21t) Add '-42' to each side of the equation. 42 + -42 = 42 + -42 + 21t Combine like terms: 42 + -42 = 0 0 = 42 + -42 + 21t Combine like terms: 42 + -42 = 0 0 = 0 + 21t 0 = 21t Solving 0 = 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. 0 + -21t = 21t + -21t Remove the zero: -21t = 21t + -21t Combine like terms: 21t + -21t = 0 -21t = 0 Divide each side by '-21'. t = 0 Simplifying t = 0
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