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Simplifying 4t + -15t + 32 = 5t + -32 Reorder the terms: 32 + 4t + -15t = 5t + -32 Combine like terms: 4t + -15t = -11t 32 + -11t = 5t + -32 Reorder the terms: 32 + -11t = -32 + 5t Solving 32 + -11t = -32 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 32 + -11t + -5t = -32 + 5t + -5t Combine like terms: -11t + -5t = -16t 32 + -16t = -32 + 5t + -5t Combine like terms: 5t + -5t = 0 32 + -16t = -32 + 0 32 + -16t = -32 Add '-32' to each side of the equation. 32 + -32 + -16t = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -16t = -32 + -32 -16t = -32 + -32 Combine like terms: -32 + -32 = -64 -16t = -64 Divide each side by '-16'. t = 4 Simplifying t = 4
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