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Simplifying -5(4t + -5) + 6t = 3t + -3 Reorder the terms: -5(-5 + 4t) + 6t = 3t + -3 (-5 * -5 + 4t * -5) + 6t = 3t + -3 (25 + -20t) + 6t = 3t + -3 Combine like terms: -20t + 6t = -14t 25 + -14t = 3t + -3 Reorder the terms: 25 + -14t = -3 + 3t Solving 25 + -14t = -3 + 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. 25 + -14t + -3t = -3 + 3t + -3t Combine like terms: -14t + -3t = -17t 25 + -17t = -3 + 3t + -3t Combine like terms: 3t + -3t = 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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