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Simplifying -3(t + -4) + 6t = 9t + -5 Reorder the terms: -3(-4 + t) + 6t = 9t + -5 (-4 * -3 + t * -3) + 6t = 9t + -5 (12 + -3t) + 6t = 9t + -5 Combine like terms: -3t + 6t = 3t 12 + 3t = 9t + -5 Reorder the terms: 12 + 3t = -5 + 9t Solving 12 + 3t = -5 + 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. 12 + 3t + -9t = -5 + 9t + -9t Combine like terms: 3t + -9t = -6t 12 + -6t = -5 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -6t = -5 + 0 12 + -6t = -5 Add '-12' to each side of the equation. 12 + -12 + -6t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -6t = -5 + -12 -6t = -5 + -12 Combine like terms: -5 + -12 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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