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Simplifying 9(2 + t) + -5(t + 1) = 0 (2 * 9 + t * 9) + -5(t + 1) = 0 (18 + 9t) + -5(t + 1) = 0 Reorder the terms: 18 + 9t + -5(1 + t) = 0 18 + 9t + (1 * -5 + t * -5) = 0 18 + 9t + (-5 + -5t) = 0 Reorder the terms: 18 + -5 + 9t + -5t = 0 Combine like terms: 18 + -5 = 13 13 + 9t + -5t = 0 Combine like terms: 9t + -5t = 4t 13 + 4t = 0 Solving 13 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4t = 0 + -13 4t = 0 + -13 Combine like terms: 0 + -13 = -13 4t = -13 Divide each side by '4'. t = -3.25 Simplifying t = -3.25
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