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Simplifying 2(2tc + -3) = 6(t + 2) Reorder the terms: 2(-3 + 2ct) = 6(t + 2) (-3 * 2 + 2ct * 2) = 6(t + 2) (-6 + 4ct) = 6(t + 2) Reorder the terms: -6 + 4ct = 6(2 + t) -6 + 4ct = (2 * 6 + t * 6) -6 + 4ct = (12 + 6t) Solving -6 + 4ct = 12 + 6t Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4ct = 12 + 6 + 6t Combine like terms: -6 + 6 = 0 0 + 4ct = 12 + 6 + 6t 4ct = 12 + 6 + 6t Combine like terms: 12 + 6 = 18 4ct = 18 + 6t Divide each side by '4t'. c = 4.5t-1 + 1.5 Simplifying c = 4.5t-1 + 1.5 Reorder the terms: c = 1.5 + 4.5t-1
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