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Simplifying -4(5t + -4) + 6t = 5t + -4 Reorder the terms: -4(-4 + 5t) + 6t = 5t + -4 (-4 * -4 + 5t * -4) + 6t = 5t + -4 (16 + -20t) + 6t = 5t + -4 Combine like terms: -20t + 6t = -14t 16 + -14t = 5t + -4 Reorder the terms: 16 + -14t = -4 + 5t Solving 16 + -14t = -4 + 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. 16 + -14t + -5t = -4 + 5t + -5t Combine like terms: -14t + -5t = -19t 16 + -19t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -19t = -4 + 0 16 + -19t = -4 Add '-16' to each side of the equation. 16 + -16 + -19t = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -19t = -4 + -16 -19t = -4 + -16 Combine like terms: -4 + -16 = -20 -19t = -20 Divide each side by '-19'. t = 1.052631579 Simplifying t = 1.052631579
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