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Simplifying -4(-2t + 1) + -10 = -4 + 10t Reorder the terms: -4(1 + -2t) + -10 = -4 + 10t (1 * -4 + -2t * -4) + -10 = -4 + 10t (-4 + 8t) + -10 = -4 + 10t Reorder the terms: -4 + -10 + 8t = -4 + 10t Combine like terms: -4 + -10 = -14 -14 + 8t = -4 + 10t Solving -14 + 8t = -4 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -14 + 8t + -10t = -4 + 10t + -10t Combine like terms: 8t + -10t = -2t -14 + -2t = -4 + 10t + -10t Combine like terms: 10t + -10t = 0 -14 + -2t = -4 + 0 -14 + -2t = -4 Add '14' to each side of the equation. -14 + 14 + -2t = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -2t = -4 + 14 -2t = -4 + 14 Combine like terms: -4 + 14 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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