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Simplifying -3(4t + -4) + 6t = 5t + -9 Reorder the terms: -3(-4 + 4t) + 6t = 5t + -9 (-4 * -3 + 4t * -3) + 6t = 5t + -9 (12 + -12t) + 6t = 5t + -9 Combine like terms: -12t + 6t = -6t 12 + -6t = 5t + -9 Reorder the terms: 12 + -6t = -9 + 5t Solving 12 + -6t = -9 + 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. 12 + -6t + -5t = -9 + 5t + -5t Combine like terms: -6t + -5t = -11t 12 + -11t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -11t = -9 + 0 12 + -11t = -9 Add '-12' to each side of the equation. 12 + -12 + -11t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -11t = -9 + -12 -11t = -9 + -12 Combine like terms: -9 + -12 = -21 -11t = -21 Divide each side by '-11'. t = 1.909090909 Simplifying t = 1.909090909
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