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Simplifying -5(3t + -5) + -2t = 6t + -2 Reorder the terms: -5(-5 + 3t) + -2t = 6t + -2 (-5 * -5 + 3t * -5) + -2t = 6t + -2 (25 + -15t) + -2t = 6t + -2 Combine like terms: -15t + -2t = -17t 25 + -17t = 6t + -2 Reorder the terms: 25 + -17t = -2 + 6t Solving 25 + -17t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 25 + -17t + -6t = -2 + 6t + -6t Combine like terms: -17t + -6t = -23t 25 + -23t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 25 + -23t = -2 + 0 25 + -23t = -2 Add '-25' to each side of the equation. 25 + -25 + -23t = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -23t = -2 + -25 -23t = -2 + -25 Combine like terms: -2 + -25 = -27 -23t = -27 Divide each side by '-23'. t = 1.173913043 Simplifying t = 1.173913043
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