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Simplifying -2(t + -4) + 6t = 9t + -3 Reorder the terms: -2(-4 + t) + 6t = 9t + -3 (-4 * -2 + t * -2) + 6t = 9t + -3 (8 + -2t) + 6t = 9t + -3 Combine like terms: -2t + 6t = 4t 8 + 4t = 9t + -3 Reorder the terms: 8 + 4t = -3 + 9t Solving 8 + 4t = -3 + 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. 8 + 4t + -9t = -3 + 9t + -9t Combine like terms: 4t + -9t = -5t 8 + -5t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -5t = -3 + 0 8 + -5t = -3 Add '-8' to each side of the equation. 8 + -8 + -5t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = -3 + -8 -5t = -3 + -8 Combine like terms: -3 + -8 = -11 -5t = -11 Divide each side by '-5'. t = 2.2 Simplifying t = 2.2
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