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Simplifying -4(t + -2) + 6t = 5t + -2 Reorder the terms: -4(-2 + t) + 6t = 5t + -2 (-2 * -4 + t * -4) + 6t = 5t + -2 (8 + -4t) + 6t = 5t + -2 Combine like terms: -4t + 6t = 2t 8 + 2t = 5t + -2 Reorder the terms: 8 + 2t = -2 + 5t Solving 8 + 2t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + 2t + -5t = -2 + 5t + -5t Combine like terms: 2t + -5t = -3t 8 + -3t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -3t = -2 + 0 8 + -3t = -2 Add '-8' to each side of the equation. 8 + -8 + -3t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -2 + -8 -3t = -2 + -8 Combine like terms: -2 + -8 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333
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