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Simplifying 46t + -6 = 59t + -97 Reorder the terms: -6 + 46t = 59t + -97 Reorder the terms: -6 + 46t = -97 + 59t Solving -6 + 46t = -97 + 59t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-59t' to each side of the equation. -6 + 46t + -59t = -97 + 59t + -59t Combine like terms: 46t + -59t = -13t -6 + -13t = -97 + 59t + -59t Combine like terms: 59t + -59t = 0 -6 + -13t = -97 + 0 -6 + -13t = -97 Add '6' to each side of the equation. -6 + 6 + -13t = -97 + 6 Combine like terms: -6 + 6 = 0 0 + -13t = -97 + 6 -13t = -97 + 6 Combine like terms: -97 + 6 = -91 -13t = -91 Divide each side by '-13'. t = 7 Simplifying t = 7
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