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Simplifying -4(5t + -4) + 7t = 6t + -5 Reorder the terms: -4(-4 + 5t) + 7t = 6t + -5 (-4 * -4 + 5t * -4) + 7t = 6t + -5 (16 + -20t) + 7t = 6t + -5 Combine like terms: -20t + 7t = -13t 16 + -13t = 6t + -5 Reorder the terms: 16 + -13t = -5 + 6t Solving 16 + -13t = -5 + 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. 16 + -13t + -6t = -5 + 6t + -6t Combine like terms: -13t + -6t = -19t 16 + -19t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -19t = -5 + 0 16 + -19t = -5 Add '-16' to each side of the equation. 16 + -16 + -19t = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -19t = -5 + -16 -19t = -5 + -16 Combine like terms: -5 + -16 = -21 -19t = -21 Divide each side by '-19'. t = 1.105263158 Simplifying t = 1.105263158
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