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Simplifying -3(2t + 7) = -51 Reorder the terms: -3(7 + 2t) = -51 (7 * -3 + 2t * -3) = -51 (-21 + -6t) = -51 Solving -21 + -6t = -51 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -6t = -51 + 21 Combine like terms: -21 + 21 = 0 0 + -6t = -51 + 21 -6t = -51 + 21 Combine like terms: -51 + 21 = -30 -6t = -30 Divide each side by '-6'. t = 5 Simplifying t = 5
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