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Simplifying -2(5t + 5) + -1(8t + 7) + -4t + 12 = 0 Reorder the terms: -2(5 + 5t) + -1(8t + 7) + -4t + 12 = 0 (5 * -2 + 5t * -2) + -1(8t + 7) + -4t + 12 = 0 (-10 + -10t) + -1(8t + 7) + -4t + 12 = 0 Reorder the terms: -10 + -10t + -1(7 + 8t) + -4t + 12 = 0 -10 + -10t + (7 * -1 + 8t * -1) + -4t + 12 = 0 -10 + -10t + (-7 + -8t) + -4t + 12 = 0 Reorder the terms: -10 + -7 + 12 + -10t + -8t + -4t = 0 Combine like terms: -10 + -7 = -17 -17 + 12 + -10t + -8t + -4t = 0 Combine like terms: -17 + 12 = -5 -5 + -10t + -8t + -4t = 0 Combine like terms: -10t + -8t = -18t -5 + -18t + -4t = 0 Combine like terms: -18t + -4t = -22t -5 + -22t = 0 Solving -5 + -22t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -22t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -22t = 0 + 5 -22t = 0 + 5 Combine like terms: 0 + 5 = 5 -22t = 5 Divide each side by '-22'. t = -0.2272727273 Simplifying t = -0.2272727273
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