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Simplifying 2t + 13 = -4(t + -5) Reorder the terms: 13 + 2t = -4(t + -5) Reorder the terms: 13 + 2t = -4(-5 + t) 13 + 2t = (-5 * -4 + t * -4) 13 + 2t = (20 + -4t) Solving 13 + 2t = 20 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 13 + 2t + 4t = 20 + -4t + 4t Combine like terms: 2t + 4t = 6t 13 + 6t = 20 + -4t + 4t Combine like terms: -4t + 4t = 0 13 + 6t = 20 + 0 13 + 6t = 20 Add '-13' to each side of the equation. 13 + -13 + 6t = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 6t = 20 + -13 6t = 20 + -13 Combine like terms: 20 + -13 = 7 6t = 7 Divide each side by '6'. t = 1.166666667 Simplifying t = 1.166666667
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