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Simplifying -2(4t + -2) + 6t = 7t + -9 Reorder the terms: -2(-2 + 4t) + 6t = 7t + -9 (-2 * -2 + 4t * -2) + 6t = 7t + -9 (4 + -8t) + 6t = 7t + -9 Combine like terms: -8t + 6t = -2t 4 + -2t = 7t + -9 Reorder the terms: 4 + -2t = -9 + 7t Solving 4 + -2t = -9 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 4 + -2t + -7t = -9 + 7t + -7t Combine like terms: -2t + -7t = -9t 4 + -9t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -9t = -9 + 0 4 + -9t = -9 Add '-4' to each side of the equation. 4 + -4 + -9t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = -9 + -4 -9t = -9 + -4 Combine like terms: -9 + -4 = -13 -9t = -13 Divide each side by '-9'. t = 1.444444444 Simplifying t = 1.444444444
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