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Simplifying 14 + 6 + t = 7(t + 2) Combine like terms: 14 + 6 = 20 20 + t = 7(t + 2) Reorder the terms: 20 + t = 7(2 + t) 20 + t = (2 * 7 + t * 7) 20 + t = (14 + 7t) Solving 20 + t = 14 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + t + -7t = 14 + 7t + -7t Combine like terms: t + -7t = -6t 20 + -6t = 14 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -6t = 14 + 0 20 + -6t = 14 Add '-20' to each side of the equation. 20 + -20 + -6t = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -6t = 14 + -20 -6t = 14 + -20 Combine like terms: 14 + -20 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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