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Simplifying 21 + 6t = 7(t + 3) Reorder the terms: 21 + 6t = 7(3 + t) 21 + 6t = (3 * 7 + t * 7) 21 + 6t = (21 + 7t) Add '-21' to each side of the equation. 21 + -21 + 6t = 21 + -21 + 7t Combine like terms: 21 + -21 = 0 0 + 6t = 21 + -21 + 7t 6t = 21 + -21 + 7t Combine like terms: 21 + -21 = 0 6t = 0 + 7t 6t = 7t Solving 6t = 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. 6t + -7t = 7t + -7t Combine like terms: 6t + -7t = -1t -1t = 7t + -7t Combine like terms: 7t + -7t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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