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Simplifying -12t + -7 = 7(-4t + -17) Reorder the terms: -7 + -12t = 7(-4t + -17) Reorder the terms: -7 + -12t = 7(-17 + -4t) -7 + -12t = (-17 * 7 + -4t * 7) -7 + -12t = (-119 + -28t) Solving -7 + -12t = -119 + -28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28t' to each side of the equation. -7 + -12t + 28t = -119 + -28t + 28t Combine like terms: -12t + 28t = 16t -7 + 16t = -119 + -28t + 28t Combine like terms: -28t + 28t = 0 -7 + 16t = -119 + 0 -7 + 16t = -119 Add '7' to each side of the equation. -7 + 7 + 16t = -119 + 7 Combine like terms: -7 + 7 = 0 0 + 16t = -119 + 7 16t = -119 + 7 Combine like terms: -119 + 7 = -112 16t = -112 Divide each side by '16'. t = -7 Simplifying t = -7
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