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Simplifying 6(77) = 42(t + 4) Multiply 6 * 77 462 = 42(t + 4) Reorder the terms: 462 = 42(4 + t) 462 = (4 * 42 + t * 42) 462 = (168 + 42t) Solving 462 = 168 + 42t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42t' to each side of the equation. 462 + -42t = 168 + 42t + -42t Combine like terms: 42t + -42t = 0 462 + -42t = 168 + 0 462 + -42t = 168 Add '-462' to each side of the equation. 462 + -462 + -42t = 168 + -462 Combine like terms: 462 + -462 = 0 0 + -42t = 168 + -462 -42t = 168 + -462 Combine like terms: 168 + -462 = -294 -42t = -294 Divide each side by '-42'. t = 7 Simplifying t = 7
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