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Simplifying 4(5t + -6) = 31t + 8 Reorder the terms: 4(-6 + 5t) = 31t + 8 (-6 * 4 + 5t * 4) = 31t + 8 (-24 + 20t) = 31t + 8 Reorder the terms: -24 + 20t = 8 + 31t Solving -24 + 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. -24 + 20t + -31t = 8 + 31t + -31t Combine like terms: 20t + -31t = -11t -24 + -11t = 8 + 31t + -31t Combine like terms: 31t + -31t = 0 -24 + -11t = 8 + 0 -24 + -11t = 8 Add '24' to each side of the equation. -24 + 24 + -11t = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -11t = 8 + 24 -11t = 8 + 24 Combine like terms: 8 + 24 = 32 -11t = 32 Divide each side by '-11'. t = -2.909090909 Simplifying t = -2.909090909
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