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Simplifying -5(t + -2) + 8t = 6t + -6 Reorder the terms: -5(-2 + t) + 8t = 6t + -6 (-2 * -5 + t * -5) + 8t = 6t + -6 (10 + -5t) + 8t = 6t + -6 Combine like terms: -5t + 8t = 3t 10 + 3t = 6t + -6 Reorder the terms: 10 + 3t = -6 + 6t Solving 10 + 3t = -6 + 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. 10 + 3t + -6t = -6 + 6t + -6t Combine like terms: 3t + -6t = -3t 10 + -3t = -6 + 6t + -6t Combine like terms: 6t + -6t = 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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