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Simplifying 12 + 5t = 6(t + 2) Reorder the terms: 12 + 5t = 6(2 + t) 12 + 5t = (2 * 6 + t * 6) 12 + 5t = (12 + 6t) Add '-12' to each side of the equation. 12 + -12 + 5t = 12 + -12 + 6t Combine like terms: 12 + -12 = 0 0 + 5t = 12 + -12 + 6t 5t = 12 + -12 + 6t Combine like terms: 12 + -12 = 0 5t = 0 + 6t 5t = 6t Solving 5t = 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. 5t + -6t = 6t + -6t Combine like terms: 5t + -6t = -1t -1t = 6t + -6t Combine like terms: 6t + -6t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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