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Simplifying 42t + -10 = 69t + -64 Reorder the terms: -10 + 42t = 69t + -64 Reorder the terms: -10 + 42t = -64 + 69t Solving -10 + 42t = -64 + 69t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-69t' to each side of the equation. -10 + 42t + -69t = -64 + 69t + -69t Combine like terms: 42t + -69t = -27t -10 + -27t = -64 + 69t + -69t Combine like terms: 69t + -69t = 0 -10 + -27t = -64 + 0 -10 + -27t = -64 Add '10' to each side of the equation. -10 + 10 + -27t = -64 + 10 Combine like terms: -10 + 10 = 0 0 + -27t = -64 + 10 -27t = -64 + 10 Combine like terms: -64 + 10 = -54 -27t = -54 Divide each side by '-27'. t = 2 Simplifying t = 2
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