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Simplifying -4(5t + -5) + 6t = 5t + -7 Reorder the terms: -4(-5 + 5t) + 6t = 5t + -7 (-5 * -4 + 5t * -4) + 6t = 5t + -7 (20 + -20t) + 6t = 5t + -7 Combine like terms: -20t + 6t = -14t 20 + -14t = 5t + -7 Reorder the terms: 20 + -14t = -7 + 5t Solving 20 + -14t = -7 + 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. 20 + -14t + -5t = -7 + 5t + -5t Combine like terms: -14t + -5t = -19t 20 + -19t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -19t = -7 + 0 20 + -19t = -7 Add '-20' to each side of the equation. 20 + -20 + -19t = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -7 + -20 -19t = -7 + -20 Combine like terms: -7 + -20 = -27 -19t = -27 Divide each side by '-19'. t = 1.421052632 Simplifying t = 1.421052632
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