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Simplifying -4(-8t + 2) = -10t + -8 Reorder the terms: -4(2 + -8t) = -10t + -8 (2 * -4 + -8t * -4) = -10t + -8 (-8 + 32t) = -10t + -8 Reorder the terms: -8 + 32t = -8 + -10t Add '8' to each side of the equation. -8 + 8 + 32t = -8 + 8 + -10t Combine like terms: -8 + 8 = 0 0 + 32t = -8 + 8 + -10t 32t = -8 + 8 + -10t Combine like terms: -8 + 8 = 0 32t = 0 + -10t 32t = -10t Solving 32t = -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. 32t + 10t = -10t + 10t Combine like terms: 32t + 10t = 42t 42t = -10t + 10t Combine like terms: -10t + 10t = 0 42t = 0 Divide each side by '42'. t = 0 Simplifying t = 0
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