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Simplifying -4(2t + -2) + 3t = 6t + -9 Reorder the terms: -4(-2 + 2t) + 3t = 6t + -9 (-2 * -4 + 2t * -4) + 3t = 6t + -9 (8 + -8t) + 3t = 6t + -9 Combine like terms: -8t + 3t = -5t 8 + -5t = 6t + -9 Reorder the terms: 8 + -5t = -9 + 6t Solving 8 + -5t = -9 + 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. 8 + -5t + -6t = -9 + 6t + -6t Combine like terms: -5t + -6t = -11t 8 + -11t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -11t = -9 + 0 8 + -11t = -9 Add '-8' to each side of the equation. 8 + -8 + -11t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -9 + -8 -11t = -9 + -8 Combine like terms: -9 + -8 = -17 -11t = -17 Divide each side by '-11'. t = 1.545454545 Simplifying t = 1.545454545
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