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Simplifying -2(5t + -5) + 5t = 6t + -2 Reorder the terms: -2(-5 + 5t) + 5t = 6t + -2 (-5 * -2 + 5t * -2) + 5t = 6t + -2 (10 + -10t) + 5t = 6t + -2 Combine like terms: -10t + 5t = -5t 10 + -5t = 6t + -2 Reorder the terms: 10 + -5t = -2 + 6t Solving 10 + -5t = -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. 10 + -5t + -6t = -2 + 6t + -6t Combine like terms: -5t + -6t = -11t 10 + -11t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -11t = -2 + 0 10 + -11t = -2 Add '-10' to each side of the equation. 10 + -10 + -11t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -2 + -10 -11t = -2 + -10 Combine like terms: -2 + -10 = -12 -11t = -12 Divide each side by '-11'. t = 1.090909091 Simplifying t = 1.090909091
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