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Simplifying -5(2t + 1) = -65 Reorder the terms: -5(1 + 2t) = -65 (1 * -5 + 2t * -5) = -65 (-5 + -10t) = -65 Solving -5 + -10t = -65 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10t = -65 + 5 Combine like terms: -5 + 5 = 0 0 + -10t = -65 + 5 -10t = -65 + 5 Combine like terms: -65 + 5 = -60 -10t = -60 Divide each side by '-10'. t = 6 Simplifying t = 6
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