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Simplifying -1(100) = (12t) + -1(4) Multiply -1 * 100 -100 = (12t) + -1(4) Multiply -1 * 4 -100 = (12t) + -4 Reorder the terms: -100 = -4 + (12t) Solving -100 = -4 + (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. -100 + (-12t) = -4 + (12t) + (-12t) Combine like terms: (12t) + (-12t) = 0 -100 + (-12t) = -4 + 0 -100 + (-12t) = -4 Add '100' to each side of the equation. -100 + 100 + (-12t) = -4 + 100 Combine like terms: -100 + 100 = 0 0 + (-12t) = -4 + 100 (-12t) = -4 + 100 Combine like terms: -4 + 100 = 96 (-12t) = 96 Divide each side by '-12'. t = -8 Simplifying t = -8
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