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Simplifying -3(4t + -5) + 6t = 5t + -6 Reorder the terms: -3(-5 + 4t) + 6t = 5t + -6 (-5 * -3 + 4t * -3) + 6t = 5t + -6 (15 + -12t) + 6t = 5t + -6 Combine like terms: -12t + 6t = -6t 15 + -6t = 5t + -6 Reorder the terms: 15 + -6t = -6 + 5t Solving 15 + -6t = -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. 15 + -6t + -5t = -6 + 5t + -5t Combine like terms: -6t + -5t = -11t 15 + -11t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -11t = -6 + 0 15 + -11t = -6 Add '-15' to each side of the equation. 15 + -15 + -11t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -11t = -6 + -15 -11t = -6 + -15 Combine like terms: -6 + -15 = -21 -11t = -21 Divide each side by '-11'. t = 1.909090909 Simplifying t = 1.909090909
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