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Simplifying 3(t + 2) = 4t + 21 Reorder the terms: 3(2 + t) = 4t + 21 (2 * 3 + t * 3) = 4t + 21 (6 + 3t) = 4t + 21 Reorder the terms: 6 + 3t = 21 + 4t Solving 6 + 3t = 21 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + 3t + -4t = 21 + 4t + -4t Combine like terms: 3t + -4t = -1t 6 + -1t = 21 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + -1t = 21 + 0 6 + -1t = 21 Add '-6' to each side of the equation. 6 + -6 + -1t = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 21 + -6 -1t = 21 + -6 Combine like terms: 21 + -6 = 15 -1t = 15 Divide each side by '-1'. t = -15 Simplifying t = -15
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