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Simplifying (-2t + -4) + -8(10t + 4) = 0 Reorder the terms: (-4 + -2t) + -8(10t + 4) = 0 Remove parenthesis around (-4 + -2t) -4 + -2t + -8(10t + 4) = 0 Reorder the terms: -4 + -2t + -8(4 + 10t) = 0 -4 + -2t + (4 * -8 + 10t * -8) = 0 -4 + -2t + (-32 + -80t) = 0 Reorder the terms: -4 + -32 + -2t + -80t = 0 Combine like terms: -4 + -32 = -36 -36 + -2t + -80t = 0 Combine like terms: -2t + -80t = -82t -36 + -82t = 0 Solving -36 + -82t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -82t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -82t = 0 + 36 -82t = 0 + 36 Combine like terms: 0 + 36 = 36 -82t = 36 Divide each side by '-82'. t = -0.4390243902 Simplifying t = -0.4390243902
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