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Simplifying 4(5t + -7) = 31t + 8 Reorder the terms: 4(-7 + 5t) = 31t + 8 (-7 * 4 + 5t * 4) = 31t + 8 (-28 + 20t) = 31t + 8 Reorder the terms: -28 + 20t = 8 + 31t Solving -28 + 20t = 8 + 31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31t' to each side of the equation. -28 + 20t + -31t = 8 + 31t + -31t Combine like terms: 20t + -31t = -11t -28 + -11t = 8 + 31t + -31t Combine like terms: 31t + -31t = 0 -28 + -11t = 8 + 0 -28 + -11t = 8 Add '28' to each side of the equation. -28 + 28 + -11t = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -11t = 8 + 28 -11t = 8 + 28 Combine like terms: 8 + 28 = 36 -11t = 36 Divide each side by '-11'. t = -3.272727273 Simplifying t = -3.272727273
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