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Simplifying 6t + -12 = 2t + 16 Reorder the terms: -12 + 6t = 2t + 16 Reorder the terms: -12 + 6t = 16 + 2t Solving -12 + 6t = 16 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -12 + 6t + -2t = 16 + 2t + -2t Combine like terms: 6t + -2t = 4t -12 + 4t = 16 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 4t = 16 + 0 -12 + 4t = 16 Add '12' to each side of the equation. -12 + 12 + 4t = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = 16 + 12 4t = 16 + 12 Combine like terms: 16 + 12 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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