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Simplifying -9(t + -20) = 4(t + -15) Reorder the terms: -9(-20 + t) = 4(t + -15) (-20 * -9 + t * -9) = 4(t + -15) (180 + -9t) = 4(t + -15) Reorder the terms: 180 + -9t = 4(-15 + t) 180 + -9t = (-15 * 4 + t * 4) 180 + -9t = (-60 + 4t) Solving 180 + -9t = -60 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 180 + -9t + -4t = -60 + 4t + -4t Combine like terms: -9t + -4t = -13t 180 + -13t = -60 + 4t + -4t Combine like terms: 4t + -4t = 0 180 + -13t = -60 + 0 180 + -13t = -60 Add '-180' to each side of the equation. 180 + -180 + -13t = -60 + -180 Combine like terms: 180 + -180 = 0 0 + -13t = -60 + -180 -13t = -60 + -180 Combine like terms: -60 + -180 = -240 -13t = -240 Divide each side by '-13'. t = 18.46153846 Simplifying t = 18.46153846
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