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Simplifying -5(2t + 9) = -85 Reorder the terms: -5(9 + 2t) = -85 (9 * -5 + 2t * -5) = -85 (-45 + -10t) = -85 Solving -45 + -10t = -85 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -10t = -85 + 45 Combine like terms: -45 + 45 = 0 0 + -10t = -85 + 45 -10t = -85 + 45 Combine like terms: -85 + 45 = -40 -10t = -40 Divide each side by '-10'. t = 4 Simplifying t = 4
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