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Simplifying 2(3c + -8) + -4t = 10 Reorder the terms: 2(-8 + 3c) + -4t = 10 (-8 * 2 + 3c * 2) + -4t = 10 (-16 + 6c) + -4t = 10 Solving -16 + 6c + -4t = 10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 6c + 16 + -4t = 10 + 16 Reorder the terms: -16 + 16 + 6c + -4t = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 6c + -4t = 10 + 16 6c + -4t = 10 + 16 Combine like terms: 10 + 16 = 26 6c + -4t = 26 Add '4t' to each side of the equation. 6c + -4t + 4t = 26 + 4t Combine like terms: -4t + 4t = 0 6c + 0 = 26 + 4t 6c = 26 + 4t Divide each side by '6'. c = 4.333333333 + 0.6666666667t Simplifying c = 4.333333333 + 0.6666666667t
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