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Simplifying -9(4t + -20) = -17t + -8t + 15 Reorder the terms: -9(-20 + 4t) = -17t + -8t + 15 (-20 * -9 + 4t * -9) = -17t + -8t + 15 (180 + -36t) = -17t + -8t + 15 Reorder the terms: 180 + -36t = 15 + -17t + -8t Combine like terms: -17t + -8t = -25t 180 + -36t = 15 + -25t Solving 180 + -36t = 15 + -25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25t' to each side of the equation. 180 + -36t + 25t = 15 + -25t + 25t Combine like terms: -36t + 25t = -11t 180 + -11t = 15 + -25t + 25t Combine like terms: -25t + 25t = 0 180 + -11t = 15 + 0 180 + -11t = 15 Add '-180' to each side of the equation. 180 + -180 + -11t = 15 + -180 Combine like terms: 180 + -180 = 0 0 + -11t = 15 + -180 -11t = 15 + -180 Combine like terms: 15 + -180 = -165 -11t = -165 Divide each side by '-11'. t = 15 Simplifying t = 15
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