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Simplifying 12t + -6 + -12 = 6t + 12 Reorder the terms: -6 + -12 + 12t = 6t + 12 Combine like terms: -6 + -12 = -18 -18 + 12t = 6t + 12 Reorder the terms: -18 + 12t = 12 + 6t Solving -18 + 12t = 12 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -18 + 12t + -6t = 12 + 6t + -6t Combine like terms: 12t + -6t = 6t -18 + 6t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -18 + 6t = 12 + 0 -18 + 6t = 12 Add '18' to each side of the equation. -18 + 18 + 6t = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6t = 12 + 18 6t = 12 + 18 Combine like terms: 12 + 18 = 30 6t = 30 Divide each side by '6'. t = 5 Simplifying t = 5
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