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Simplifying 2(t + 7) = 6(t + 3) Reorder the terms: 2(7 + t) = 6(t + 3) (7 * 2 + t * 2) = 6(t + 3) (14 + 2t) = 6(t + 3) Reorder the terms: 14 + 2t = 6(3 + t) 14 + 2t = (3 * 6 + t * 6) 14 + 2t = (18 + 6t) Solving 14 + 2t = 18 + 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. 14 + 2t + -6t = 18 + 6t + -6t Combine like terms: 2t + -6t = -4t 14 + -4t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 14 + -4t = 18 + 0 14 + -4t = 18 Add '-14' to each side of the equation. 14 + -14 + -4t = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -4t = 18 + -14 -4t = 18 + -14 Combine like terms: 18 + -14 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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