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Simplifying -4(-8t + 2) + -10 = -8 + 6t Reorder the terms: -4(2 + -8t) + -10 = -8 + 6t (2 * -4 + -8t * -4) + -10 = -8 + 6t (-8 + 32t) + -10 = -8 + 6t Reorder the terms: -8 + -10 + 32t = -8 + 6t Combine like terms: -8 + -10 = -18 -18 + 32t = -8 + 6t Solving -18 + 32t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -18 + 32t + -6t = -8 + 6t + -6t Combine like terms: 32t + -6t = 26t -18 + 26t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 -18 + 26t = -8 + 0 -18 + 26t = -8 Add '18' to each side of the equation. -18 + 18 + 26t = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 26t = -8 + 18 26t = -8 + 18 Combine like terms: -8 + 18 = 10 26t = 10 Divide each side by '26'. t = 0.3846153846 Simplifying t = 0.3846153846
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