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Simplifying -5(3t + -5) + 6t = 8t + -3 Reorder the terms: -5(-5 + 3t) + 6t = 8t + -3 (-5 * -5 + 3t * -5) + 6t = 8t + -3 (25 + -15t) + 6t = 8t + -3 Combine like terms: -15t + 6t = -9t 25 + -9t = 8t + -3 Reorder the terms: 25 + -9t = -3 + 8t Solving 25 + -9t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 25 + -9t + -8t = -3 + 8t + -8t Combine like terms: -9t + -8t = -17t 25 + -17t = -3 + 8t + -8t Combine like terms: 8t + -8t = 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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