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Simplifying -3(t + -1) + 6t = 9t + -4 Reorder the terms: -3(-1 + t) + 6t = 9t + -4 (-1 * -3 + t * -3) + 6t = 9t + -4 (3 + -3t) + 6t = 9t + -4 Combine like terms: -3t + 6t = 3t 3 + 3t = 9t + -4 Reorder the terms: 3 + 3t = -4 + 9t Solving 3 + 3t = -4 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 3 + 3t + -9t = -4 + 9t + -9t Combine like terms: 3t + -9t = -6t 3 + -6t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 3 + -6t = -4 + 0 3 + -6t = -4 Add '-3' to each side of the equation. 3 + -3 + -6t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = -4 + -3 -6t = -4 + -3 Combine like terms: -4 + -3 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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