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Simplifying -2(t + -2) + 5t = 6t + -9 Reorder the terms: -2(-2 + t) + 5t = 6t + -9 (-2 * -2 + t * -2) + 5t = 6t + -9 (4 + -2t) + 5t = 6t + -9 Combine like terms: -2t + 5t = 3t 4 + 3t = 6t + -9 Reorder the terms: 4 + 3t = -9 + 6t Solving 4 + 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. 4 + 3t + -6t = -9 + 6t + -6t Combine like terms: 3t + -6t = -3t 4 + -3t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -3t = -9 + 0 4 + -3t = -9 Add '-4' to each side of the equation. 4 + -4 + -3t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = -9 + -4 -3t = -9 + -4 Combine like terms: -9 + -4 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333
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