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Simplifying -5(2t + -5) + 7t = 2t + -6 Reorder the terms: -5(-5 + 2t) + 7t = 2t + -6 (-5 * -5 + 2t * -5) + 7t = 2t + -6 (25 + -10t) + 7t = 2t + -6 Combine like terms: -10t + 7t = -3t 25 + -3t = 2t + -6 Reorder the terms: 25 + -3t = -6 + 2t Solving 25 + -3t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + -3t + -2t = -6 + 2t + -2t Combine like terms: -3t + -2t = -5t 25 + -5t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + -5t = -6 + 0 25 + -5t = -6 Add '-25' to each side of the equation. 25 + -25 + -5t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -5t = -6 + -25 -5t = -6 + -25 Combine like terms: -6 + -25 = -31 -5t = -31 Divide each side by '-5'. t = 6.2 Simplifying t = 6.2
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