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Simplifying 6t + -15 = 5t + 12 Reorder the terms: -15 + 6t = 5t + 12 Reorder the terms: -15 + 6t = 12 + 5t Solving -15 + 6t = 12 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -15 + 6t + -5t = 12 + 5t + -5t Combine like terms: 6t + -5t = 1t -15 + 1t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 -15 + 1t = 12 + 0 -15 + 1t = 12 Add '15' to each side of the equation. -15 + 15 + 1t = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 1t = 12 + 15 1t = 12 + 15 Combine like terms: 12 + 15 = 27 1t = 27 Divide each side by '1'. t = 27 Simplifying t = 27
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