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Simplifying -3(2t + 5) = -51 Reorder the terms: -3(5 + 2t) = -51 (5 * -3 + 2t * -3) = -51 (-15 + -6t) = -51 Solving -15 + -6t = -51 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -6t = -51 + 15 Combine like terms: -15 + 15 = 0 0 + -6t = -51 + 15 -6t = -51 + 15 Combine like terms: -51 + 15 = -36 -6t = -36 Divide each side by '-6'. t = 6 Simplifying t = 6
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