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Simplifying 7t + -5t2 = 12(t + -1) + -5t2 + -25 Reorder the terms: 7t + -5t2 = 12(-1 + t) + -5t2 + -25 7t + -5t2 = (-1 * 12 + t * 12) + -5t2 + -25 7t + -5t2 = (-12 + 12t) + -5t2 + -25 Reorder the terms: 7t + -5t2 = -12 + -25 + 12t + -5t2 Combine like terms: -12 + -25 = -37 7t + -5t2 = -37 + 12t + -5t2 Add '5t2' to each side of the equation. 7t + -5t2 + 5t2 = -37 + 12t + -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 7t + 0 = -37 + 12t + -5t2 + 5t2 7t = -37 + 12t + -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 7t = -37 + 12t + 0 7t = -37 + 12t Solving 7t = -37 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 7t + -12t = -37 + 12t + -12t Combine like terms: 7t + -12t = -5t -5t = -37 + 12t + -12t Combine like terms: 12t + -12t = 0 -5t = -37 + 0 -5t = -37 Divide each side by '-5'. t = 7.4 Simplifying t = 7.4
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