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Simplifying -2(t + -4) + 5t = 6t + -9 Reorder the terms: -2(-4 + t) + 5t = 6t + -9 (-4 * -2 + t * -2) + 5t = 6t + -9 (8 + -2t) + 5t = 6t + -9 Combine like terms: -2t + 5t = 3t 8 + 3t = 6t + -9 Reorder the terms: 8 + 3t = -9 + 6t Solving 8 + 3t = -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 + 3t + -6t = -9 + 6t + -6t Combine like terms: 3t + -6t = -3t 8 + -3t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -3t = -9 + 0 8 + -3t = -9 Add '-8' to each side of the equation. 8 + -8 + -3t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -9 + -8 -3t = -9 + -8 Combine like terms: -9 + -8 = -17 -3t = -17 Divide each side by '-3'. t = 5.666666667 Simplifying t = 5.666666667
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