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Simplifying -5(2t + 8) = -100 Reorder the terms: -5(8 + 2t) = -100 (8 * -5 + 2t * -5) = -100 (-40 + -10t) = -100 Solving -40 + -10t = -100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -10t = -100 + 40 Combine like terms: -40 + 40 = 0 0 + -10t = -100 + 40 -10t = -100 + 40 Combine like terms: -100 + 40 = -60 -10t = -60 Divide each side by '-10'. t = 6 Simplifying t = 6
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