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Simplifying -3t + 25 + -4t = -4(t + -4) + 1 Reorder the terms: 25 + -3t + -4t = -4(t + -4) + 1 Combine like terms: -3t + -4t = -7t 25 + -7t = -4(t + -4) + 1 Reorder the terms: 25 + -7t = -4(-4 + t) + 1 25 + -7t = (-4 * -4 + t * -4) + 1 25 + -7t = (16 + -4t) + 1 Reorder the terms: 25 + -7t = 16 + 1 + -4t Combine like terms: 16 + 1 = 17 25 + -7t = 17 + -4t Solving 25 + -7t = 17 + -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. 25 + -7t + 4t = 17 + -4t + 4t Combine like terms: -7t + 4t = -3t 25 + -3t = 17 + -4t + 4t Combine like terms: -4t + 4t = 0 25 + -3t = 17 + 0 25 + -3t = 17 Add '-25' to each side of the equation. 25 + -25 + -3t = 17 + -25 Combine like terms: 25 + -25 = 0 0 + -3t = 17 + -25 -3t = 17 + -25 Combine like terms: 17 + -25 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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