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Simplifying 6(t + 2) + -14 = 6 + -2 Reorder the terms: 6(2 + t) + -14 = 6 + -2 (2 * 6 + t * 6) + -14 = 6 + -2 (12 + 6t) + -14 = 6 + -2 Reorder the terms: 12 + -14 + 6t = 6 + -2 Combine like terms: 12 + -14 = -2 -2 + 6t = 6 + -2 Combine like terms: 6 + -2 = 4 -2 + 6t = 4 Solving -2 + 6t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6t = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6t = 4 + 2 6t = 4 + 2 Combine like terms: 4 + 2 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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