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Simplifying -4(3t + -2) + 5t = 6t + -4 Reorder the terms: -4(-2 + 3t) + 5t = 6t + -4 (-2 * -4 + 3t * -4) + 5t = 6t + -4 (8 + -12t) + 5t = 6t + -4 Combine like terms: -12t + 5t = -7t 8 + -7t = 6t + -4 Reorder the terms: 8 + -7t = -4 + 6t Solving 8 + -7t = -4 + 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. 8 + -7t + -6t = -4 + 6t + -6t Combine like terms: -7t + -6t = -13t 8 + -13t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -13t = -4 + 0 8 + -13t = -4 Add '-8' to each side of the equation. 8 + -8 + -13t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -13t = -4 + -8 -13t = -4 + -8 Combine like terms: -4 + -8 = -12 -13t = -12 Divide each side by '-13'. t = 0.9230769231 Simplifying t = 0.9230769231
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