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Simplifying 9(t + -2) = 7(t + -3) Reorder the terms: 9(-2 + t) = 7(t + -3) (-2 * 9 + t * 9) = 7(t + -3) (-18 + 9t) = 7(t + -3) Reorder the terms: -18 + 9t = 7(-3 + t) -18 + 9t = (-3 * 7 + t * 7) -18 + 9t = (-21 + 7t) Solving -18 + 9t = -21 + 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. -18 + 9t + -7t = -21 + 7t + -7t Combine like terms: 9t + -7t = 2t -18 + 2t = -21 + 7t + -7t Combine like terms: 7t + -7t = 0 -18 + 2t = -21 + 0 -18 + 2t = -21 Add '18' to each side of the equation. -18 + 18 + 2t = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 2t = -21 + 18 2t = -21 + 18 Combine like terms: -21 + 18 = -3 2t = -3 Divide each side by '2'. t = -1.5 Simplifying t = -1.5
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