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Simplifying 48t + -15 = 54t + -75 Reorder the terms: -15 + 48t = 54t + -75 Reorder the terms: -15 + 48t = -75 + 54t Solving -15 + 48t = -75 + 54t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54t' to each side of the equation. -15 + 48t + -54t = -75 + 54t + -54t Combine like terms: 48t + -54t = -6t -15 + -6t = -75 + 54t + -54t Combine like terms: 54t + -54t = 0 -15 + -6t = -75 + 0 -15 + -6t = -75 Add '15' to each side of the equation. -15 + 15 + -6t = -75 + 15 Combine like terms: -15 + 15 = 0 0 + -6t = -75 + 15 -6t = -75 + 15 Combine like terms: -75 + 15 = -60 -6t = -60 Divide each side by '-6'. t = 10 Simplifying t = 10
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