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Simplifying -4(5t + -4) + 6t = 7t + -6 Reorder the terms: -4(-4 + 5t) + 6t = 7t + -6 (-4 * -4 + 5t * -4) + 6t = 7t + -6 (16 + -20t) + 6t = 7t + -6 Combine like terms: -20t + 6t = -14t 16 + -14t = 7t + -6 Reorder the terms: 16 + -14t = -6 + 7t Solving 16 + -14t = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 16 + -14t + -7t = -6 + 7t + -7t Combine like terms: -14t + -7t = -21t 16 + -21t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -21t = -6 + 0 16 + -21t = -6 Add '-16' to each side of the equation. 16 + -16 + -21t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -21t = -6 + -16 -21t = -6 + -16 Combine like terms: -6 + -16 = -22 -21t = -22 Divide each side by '-21'. t = 1.047619048 Simplifying t = 1.047619048
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