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Simplifying -3(2t + 4) = -42 Reorder the terms: -3(4 + 2t) = -42 (4 * -3 + 2t * -3) = -42 (-12 + -6t) = -42 Solving -12 + -6t = -42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -6t = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -6t = -42 + 12 -6t = -42 + 12 Combine like terms: -42 + 12 = -30 -6t = -30 Divide each side by '-6'. t = 5 Simplifying t = 5
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