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Simplifying 12 + 5 = 6(t + 2) Combine like terms: 12 + 5 = 17 17 = 6(t + 2) Reorder the terms: 17 = 6(2 + t) 17 = (2 * 6 + t * 6) 17 = (12 + 6t) Solving 17 = 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. 17 + -6t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 17 + -6t = 12 + 0 17 + -6t = 12 Add '-17' to each side of the equation. 17 + -17 + -6t = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -6t = 12 + -17 -6t = 12 + -17 Combine like terms: 12 + -17 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333
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