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Simplifying 5(4t + -1) = 3t + -22 Reorder the terms: 5(-1 + 4t) = 3t + -22 (-1 * 5 + 4t * 5) = 3t + -22 (-5 + 20t) = 3t + -22 Reorder the terms: -5 + 20t = -22 + 3t Solving -5 + 20t = -22 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -5 + 20t + -3t = -22 + 3t + -3t Combine like terms: 20t + -3t = 17t -5 + 17t = -22 + 3t + -3t Combine like terms: 3t + -3t = 0 -5 + 17t = -22 + 0 -5 + 17t = -22 Add '5' to each side of the equation. -5 + 5 + 17t = -22 + 5 Combine like terms: -5 + 5 = 0 0 + 17t = -22 + 5 17t = -22 + 5 Combine like terms: -22 + 5 = -17 17t = -17 Divide each side by '17'. t = -1 Simplifying t = -1
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