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Simplifying -2(5t + -2) + 6t = 7t + -8 Reorder the terms: -2(-2 + 5t) + 6t = 7t + -8 (-2 * -2 + 5t * -2) + 6t = 7t + -8 (4 + -10t) + 6t = 7t + -8 Combine like terms: -10t + 6t = -4t 4 + -4t = 7t + -8 Reorder the terms: 4 + -4t = -8 + 7t Solving 4 + -4t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 4 + -4t + -7t = -8 + 7t + -7t Combine like terms: -4t + -7t = -11t 4 + -11t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -11t = -8 + 0 4 + -11t = -8 Add '-4' to each side of the equation. 4 + -4 + -11t = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -11t = -8 + -4 -11t = -8 + -4 Combine like terms: -8 + -4 = -12 -11t = -12 Divide each side by '-11'. t = 1.090909091 Simplifying t = 1.090909091
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