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Simplifying 4(5t + -7) = 27t + 8 Reorder the terms: 4(-7 + 5t) = 27t + 8 (-7 * 4 + 5t * 4) = 27t + 8 (-28 + 20t) = 27t + 8 Reorder the terms: -28 + 20t = 8 + 27t Solving -28 + 20t = 8 + 27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27t' to each side of the equation. -28 + 20t + -27t = 8 + 27t + -27t Combine like terms: 20t + -27t = -7t -28 + -7t = 8 + 27t + -27t Combine like terms: 27t + -27t = 0 -28 + -7t = 8 + 0 -28 + -7t = 8 Add '28' to each side of the equation. -28 + 28 + -7t = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -7t = 8 + 28 -7t = 8 + 28 Combine like terms: 8 + 28 = 36 -7t = 36 Divide each side by '-7'. t = -5.142857143 Simplifying t = -5.142857143
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