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Simplifying 2(3t + 2) + 9 = 8(t + 2) + 9t Reorder the terms: 2(2 + 3t) + 9 = 8(t + 2) + 9t (2 * 2 + 3t * 2) + 9 = 8(t + 2) + 9t (4 + 6t) + 9 = 8(t + 2) + 9t Reorder the terms: 4 + 9 + 6t = 8(t + 2) + 9t Combine like terms: 4 + 9 = 13 13 + 6t = 8(t + 2) + 9t Reorder the terms: 13 + 6t = 8(2 + t) + 9t 13 + 6t = (2 * 8 + t * 8) + 9t 13 + 6t = (16 + 8t) + 9t Combine like terms: 8t + 9t = 17t 13 + 6t = 16 + 17t Solving 13 + 6t = 16 + 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. 13 + 6t + -17t = 16 + 17t + -17t Combine like terms: 6t + -17t = -11t 13 + -11t = 16 + 17t + -17t Combine like terms: 17t + -17t = 0 13 + -11t = 16 + 0 13 + -11t = 16 Add '-13' to each side of the equation. 13 + -13 + -11t = 16 + -13 Combine like terms: 13 + -13 = 0 0 + -11t = 16 + -13 -11t = 16 + -13 Combine like terms: 16 + -13 = 3 -11t = 3 Divide each side by '-11'. t = -0.2727272727 Simplifying t = -0.2727272727
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