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Simplifying 4(2t + 3) = t + -2 Reorder the terms: 4(3 + 2t) = t + -2 (3 * 4 + 2t * 4) = t + -2 (12 + 8t) = t + -2 Reorder the terms: 12 + 8t = -2 + t Solving 12 + 8t = -2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 12 + 8t + -1t = -2 + t + -1t Combine like terms: 8t + -1t = 7t 12 + 7t = -2 + t + -1t Combine like terms: t + -1t = 0 12 + 7t = -2 + 0 12 + 7t = -2 Add '-12' to each side of the equation. 12 + -12 + 7t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7t = -2 + -12 7t = -2 + -12 Combine like terms: -2 + -12 = -14 7t = -14 Divide each side by '7'. t = -2 Simplifying t = -2
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