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Simplifying 9(t + -5) = 7(t + -8) Reorder the terms: 9(-5 + t) = 7(t + -8) (-5 * 9 + t * 9) = 7(t + -8) (-45 + 9t) = 7(t + -8) Reorder the terms: -45 + 9t = 7(-8 + t) -45 + 9t = (-8 * 7 + t * 7) -45 + 9t = (-56 + 7t) Solving -45 + 9t = -56 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -45 + 9t + -7t = -56 + 7t + -7t Combine like terms: 9t + -7t = 2t -45 + 2t = -56 + 7t + -7t Combine like terms: 7t + -7t = 0 -45 + 2t = -56 + 0 -45 + 2t = -56 Add '45' to each side of the equation. -45 + 45 + 2t = -56 + 45 Combine like terms: -45 + 45 = 0 0 + 2t = -56 + 45 2t = -56 + 45 Combine like terms: -56 + 45 = -11 2t = -11 Divide each side by '2'. t = -5.5 Simplifying t = -5.5
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