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Simplifying -10(-8t + -6 + -8c) = 0 Reorder the terms: -10(-6 + -8c + -8t) = 0 (-6 * -10 + -8c * -10 + -8t * -10) = 0 (60 + 80c + 80t) = 0 Solving 60 + 80c + 80t = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 80c + -60 + 80t = 0 + -60 Reorder the terms: 60 + -60 + 80c + 80t = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 80c + 80t = 0 + -60 80c + 80t = 0 + -60 Combine like terms: 0 + -60 = -60 80c + 80t = -60 Add '-80t' to each side of the equation. 80c + 80t + -80t = -60 + -80t Combine like terms: 80t + -80t = 0 80c + 0 = -60 + -80t 80c = -60 + -80t Divide each side by '80'. c = -0.75 + -1t Simplifying c = -0.75 + -1t
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