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Simplifying -4(t + -2) + 7t = 9t + -1 Reorder the terms: -4(-2 + t) + 7t = 9t + -1 (-2 * -4 + t * -4) + 7t = 9t + -1 (8 + -4t) + 7t = 9t + -1 Combine like terms: -4t + 7t = 3t 8 + 3t = 9t + -1 Reorder the terms: 8 + 3t = -1 + 9t Solving 8 + 3t = -1 + 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 = -1 + 9t + -9t Combine like terms: 3t + -9t = -6t 8 + -6t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -6t = -1 + 0 8 + -6t = -1 Add '-8' to each side of the equation. 8 + -8 + -6t = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = -1 + -8 -6t = -1 + -8 Combine like terms: -1 + -8 = -9 -6t = -9 Divide each side by '-6'. t = 1.5 Simplifying t = 1.5
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