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Simplifying -5(4t + -5) + 7t = 4t + -3 Reorder the terms: -5(-5 + 4t) + 7t = 4t + -3 (-5 * -5 + 4t * -5) + 7t = 4t + -3 (25 + -20t) + 7t = 4t + -3 Combine like terms: -20t + 7t = -13t 25 + -13t = 4t + -3 Reorder the terms: 25 + -13t = -3 + 4t Solving 25 + -13t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 25 + -13t + -4t = -3 + 4t + -4t Combine like terms: -13t + -4t = -17t 25 + -17t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 25 + -17t = -3 + 0 25 + -17t = -3 Add '-25' to each side of the equation. 25 + -25 + -17t = -3 + -25 Combine like terms: 25 + -25 = 0 0 + -17t = -3 + -25 -17t = -3 + -25 Combine like terms: -3 + -25 = -28 -17t = -28 Divide each side by '-17'. t = 1.647058824 Simplifying t = 1.647058824
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