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Simplifying -3(4t + -4) + 5t = 4t + -9 Reorder the terms: -3(-4 + 4t) + 5t = 4t + -9 (-4 * -3 + 4t * -3) + 5t = 4t + -9 (12 + -12t) + 5t = 4t + -9 Combine like terms: -12t + 5t = -7t 12 + -7t = 4t + -9 Reorder the terms: 12 + -7t = -9 + 4t Solving 12 + -7t = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -7t + -4t = -9 + 4t + -4t Combine like terms: -7t + -4t = -11t 12 + -11t = -9 + 4t + -4t Combine like terms: 4t + -4t = 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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