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Simplifying -4(5t + -5) + 9t = 6t + -5 Reorder the terms: -4(-5 + 5t) + 9t = 6t + -5 (-5 * -4 + 5t * -4) + 9t = 6t + -5 (20 + -20t) + 9t = 6t + -5 Combine like terms: -20t + 9t = -11t 20 + -11t = 6t + -5 Reorder the terms: 20 + -11t = -5 + 6t Solving 20 + -11t = -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. 20 + -11t + -6t = -5 + 6t + -6t Combine like terms: -11t + -6t = -17t 20 + -17t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -17t = -5 + 0 20 + -17t = -5 Add '-20' to each side of the equation. 20 + -20 + -17t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -17t = -5 + -20 -17t = -5 + -20 Combine like terms: -5 + -20 = -25 -17t = -25 Divide each side by '-17'. t = 1.470588235 Simplifying t = 1.470588235
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