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Simplifying -5(2t + -2) + 6t = 5t + -6 Reorder the terms: -5(-2 + 2t) + 6t = 5t + -6 (-2 * -5 + 2t * -5) + 6t = 5t + -6 (10 + -10t) + 6t = 5t + -6 Combine like terms: -10t + 6t = -4t 10 + -4t = 5t + -6 Reorder the terms: 10 + -4t = -6 + 5t Solving 10 + -4t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10 + -4t + -5t = -6 + 5t + -5t Combine like terms: -4t + -5t = -9t 10 + -9t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -9t = -6 + 0 10 + -9t = -6 Add '-10' to each side of the equation. 10 + -10 + -9t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -9t = -6 + -10 -9t = -6 + -10 Combine like terms: -6 + -10 = -16 -9t = -16 Divide each side by '-9'. t = 1.777777778 Simplifying t = 1.777777778
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