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Simplifying -5(2t + -4) + 4t = 6t + -3 Reorder the terms: -5(-4 + 2t) + 4t = 6t + -3 (-4 * -5 + 2t * -5) + 4t = 6t + -3 (20 + -10t) + 4t = 6t + -3 Combine like terms: -10t + 4t = -6t 20 + -6t = 6t + -3 Reorder the terms: 20 + -6t = -3 + 6t Solving 20 + -6t = -3 + 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. 20 + -6t + -6t = -3 + 6t + -6t Combine like terms: -6t + -6t = -12t 20 + -12t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -12t = -3 + 0 20 + -12t = -3 Add '-20' to each side of the equation. 20 + -20 + -12t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -12t = -3 + -20 -12t = -3 + -20 Combine like terms: -3 + -20 = -23 -12t = -23 Divide each side by '-12'. t = 1.916666667 Simplifying t = 1.916666667
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