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Simplifying 4(5t + -6) = 32t + 7 Reorder the terms: 4(-6 + 5t) = 32t + 7 (-6 * 4 + 5t * 4) = 32t + 7 (-24 + 20t) = 32t + 7 Reorder the terms: -24 + 20t = 7 + 32t Solving -24 + 20t = 7 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. -24 + 20t + -32t = 7 + 32t + -32t Combine like terms: 20t + -32t = -12t -24 + -12t = 7 + 32t + -32t Combine like terms: 32t + -32t = 0 -24 + -12t = 7 + 0 -24 + -12t = 7 Add '24' to each side of the equation. -24 + 24 + -12t = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -12t = 7 + 24 -12t = 7 + 24 Combine like terms: 7 + 24 = 31 -12t = 31 Divide each side by '-12'. t = -2.583333333 Simplifying t = -2.583333333
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