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Simplifying 42 = 3(2t + -1) Reorder the terms: 42 = 3(-1 + 2t) 42 = (-1 * 3 + 2t * 3) 42 = (-3 + 6t) Solving 42 = -3 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 42 + -6t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 42 + -6t = -3 + 0 42 + -6t = -3 Add '-42' to each side of the equation. 42 + -42 + -6t = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -6t = -3 + -42 -6t = -3 + -42 Combine like terms: -3 + -42 = -45 -6t = -45 Divide each side by '-6'. t = 7.5 Simplifying t = 7.5
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