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Simplifying 2(t + 6) = 6t + 7 Reorder the terms: 2(6 + t) = 6t + 7 (6 * 2 + t * 2) = 6t + 7 (12 + 2t) = 6t + 7 Reorder the terms: 12 + 2t = 7 + 6t Solving 12 + 2t = 7 + 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. 12 + 2t + -6t = 7 + 6t + -6t Combine like terms: 2t + -6t = -4t 12 + -4t = 7 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -4t = 7 + 0 12 + -4t = 7 Add '-12' to each side of the equation. 12 + -12 + -4t = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = 7 + -12 -4t = 7 + -12 Combine like terms: 7 + -12 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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