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Simplifying -2(5t + -4) + 6t = 5t + -8 Reorder the terms: -2(-4 + 5t) + 6t = 5t + -8 (-4 * -2 + 5t * -2) + 6t = 5t + -8 (8 + -10t) + 6t = 5t + -8 Combine like terms: -10t + 6t = -4t 8 + -4t = 5t + -8 Reorder the terms: 8 + -4t = -8 + 5t Solving 8 + -4t = -8 + 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 + -4t + -5t = -8 + 5t + -5t Combine like terms: -4t + -5t = -9t 8 + -9t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -9t = -8 + 0 8 + -9t = -8 Add '-8' to each side of the equation. 8 + -8 + -9t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -8 + -8 -9t = -8 + -8 Combine like terms: -8 + -8 = -16 -9t = -16 Divide each side by '-9'. t = 1.777777778 Simplifying t = 1.777777778
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