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Simplifying -5(t + -2) + 9t = 7t + -6 Reorder the terms: -5(-2 + t) + 9t = 7t + -6 (-2 * -5 + t * -5) + 9t = 7t + -6 (10 + -5t) + 9t = 7t + -6 Combine like terms: -5t + 9t = 4t 10 + 4t = 7t + -6 Reorder the terms: 10 + 4t = -6 + 7t Solving 10 + 4t = -6 + 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. 10 + 4t + -7t = -6 + 7t + -7t Combine like terms: 4t + -7t = -3t 10 + -3t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -3t = -6 + 0 10 + -3t = -6 Add '-10' to each side of the equation. 10 + -10 + -3t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = -6 + -10 -3t = -6 + -10 Combine like terms: -6 + -10 = -16 -3t = -16 Divide each side by '-3'. t = 5.333333333 Simplifying t = 5.333333333
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