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Simplifying 2(t + -2) = 9(t + 2) Reorder the terms: 2(-2 + t) = 9(t + 2) (-2 * 2 + t * 2) = 9(t + 2) (-4 + 2t) = 9(t + 2) Reorder the terms: -4 + 2t = 9(2 + t) -4 + 2t = (2 * 9 + t * 9) -4 + 2t = (18 + 9t) Solving -4 + 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. -4 + 2t + -9t = 18 + 9t + -9t Combine like terms: 2t + -9t = -7t -4 + -7t = 18 + 9t + -9t Combine like terms: 9t + -9t = 0 -4 + -7t = 18 + 0 -4 + -7t = 18 Add '4' to each side of the equation. -4 + 4 + -7t = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -7t = 18 + 4 -7t = 18 + 4 Combine like terms: 18 + 4 = 22 -7t = 22 Divide each side by '-7'. t = -3.142857143 Simplifying t = -3.142857143
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