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Simplifying 4t + -7 = 6t + -4(2 + -5t) Reorder the terms: -7 + 4t = 6t + -4(2 + -5t) -7 + 4t = 6t + (2 * -4 + -5t * -4) -7 + 4t = 6t + (-8 + 20t) Reorder the terms: -7 + 4t = -8 + 6t + 20t Combine like terms: 6t + 20t = 26t -7 + 4t = -8 + 26t Solving -7 + 4t = -8 + 26t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26t' to each side of the equation. -7 + 4t + -26t = -8 + 26t + -26t Combine like terms: 4t + -26t = -22t -7 + -22t = -8 + 26t + -26t Combine like terms: 26t + -26t = 0 -7 + -22t = -8 + 0 -7 + -22t = -8 Add '7' to each side of the equation. -7 + 7 + -22t = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -22t = -8 + 7 -22t = -8 + 7 Combine like terms: -8 + 7 = -1 -22t = -1 Divide each side by '-22'. t = 0.04545454545 Simplifying t = 0.04545454545
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