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Simplifying -3(2t + -5) + 26 = 5t + -4 Reorder the terms: -3(-5 + 2t) + 26 = 5t + -4 (-5 * -3 + 2t * -3) + 26 = 5t + -4 (15 + -6t) + 26 = 5t + -4 Reorder the terms: 15 + 26 + -6t = 5t + -4 Combine like terms: 15 + 26 = 41 41 + -6t = 5t + -4 Reorder the terms: 41 + -6t = -4 + 5t Solving 41 + -6t = -4 + 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. 41 + -6t + -5t = -4 + 5t + -5t Combine like terms: -6t + -5t = -11t 41 + -11t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 41 + -11t = -4 + 0 41 + -11t = -4 Add '-41' to each side of the equation. 41 + -41 + -11t = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -11t = -4 + -41 -11t = -4 + -41 Combine like terms: -4 + -41 = -45 -11t = -45 Divide each side by '-11'. t = 4.090909091 Simplifying t = 4.090909091
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