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Simplifying 4(3t + -5) + 7 = 5t + -3 Reorder the terms: 4(-5 + 3t) + 7 = 5t + -3 (-5 * 4 + 3t * 4) + 7 = 5t + -3 (-20 + 12t) + 7 = 5t + -3 Reorder the terms: -20 + 7 + 12t = 5t + -3 Combine like terms: -20 + 7 = -13 -13 + 12t = 5t + -3 Reorder the terms: -13 + 12t = -3 + 5t Solving -13 + 12t = -3 + 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. -13 + 12t + -5t = -3 + 5t + -5t Combine like terms: 12t + -5t = 7t -13 + 7t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 -13 + 7t = -3 + 0 -13 + 7t = -3 Add '13' to each side of the equation. -13 + 13 + 7t = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 7t = -3 + 13 7t = -3 + 13 Combine like terms: -3 + 13 = 10 7t = 10 Divide each side by '7'. t = 1.428571429 Simplifying t = 1.428571429
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