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Simplifying 7t + -57 = 9t + -89 Reorder the terms: -57 + 7t = 9t + -89 Reorder the terms: -57 + 7t = -89 + 9t Solving -57 + 7t = -89 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -57 + 7t + -9t = -89 + 9t + -9t Combine like terms: 7t + -9t = -2t -57 + -2t = -89 + 9t + -9t Combine like terms: 9t + -9t = 0 -57 + -2t = -89 + 0 -57 + -2t = -89 Add '57' to each side of the equation. -57 + 57 + -2t = -89 + 57 Combine like terms: -57 + 57 = 0 0 + -2t = -89 + 57 -2t = -89 + 57 Combine like terms: -89 + 57 = -32 -2t = -32 Divide each side by '-2'. t = 16 Simplifying t = 16
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