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Simplifying 2t + 3 = 9(t + -2) Reorder the terms: 3 + 2t = 9(t + -2) Reorder the terms: 3 + 2t = 9(-2 + t) 3 + 2t = (-2 * 9 + t * 9) 3 + 2t = (-18 + 9t) Solving 3 + 2t = -18 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 3 + 2t + -9t = -18 + 9t + -9t Combine like terms: 2t + -9t = -7t 3 + -7t = -18 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -7t = -18 + 0 3 + -7t = -18 Add '-3' to each side of the equation. 3 + -3 + -7t = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -7t = -18 + -3 -7t = -18 + -3 Combine like terms: -18 + -3 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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