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Simplifying -2(t + -4) + 5t = 9t + -4 Reorder the terms: -2(-4 + t) + 5t = 9t + -4 (-4 * -2 + t * -2) + 5t = 9t + -4 (8 + -2t) + 5t = 9t + -4 Combine like terms: -2t + 5t = 3t 8 + 3t = 9t + -4 Reorder the terms: 8 + 3t = -4 + 9t Solving 8 + 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. 8 + 3t + -9t = -4 + 9t + -9t Combine like terms: 3t + -9t = -6t 8 + -6t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -6t = -4 + 0 8 + -6t = -4 Add '-8' to each side of the equation. 8 + -8 + -6t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = -4 + -8 -6t = -4 + -8 Combine like terms: -4 + -8 = -12 -6t = -12 Divide each side by '-6'. t = 2 Simplifying t = 2
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