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Simplifying -8(-10 + t) = 2(-3t + 2) (-10 * -8 + t * -8) = 2(-3t + 2) (80 + -8t) = 2(-3t + 2) Reorder the terms: 80 + -8t = 2(2 + -3t) 80 + -8t = (2 * 2 + -3t * 2) 80 + -8t = (4 + -6t) Solving 80 + -8t = 4 + -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. 80 + -8t + 6t = 4 + -6t + 6t Combine like terms: -8t + 6t = -2t 80 + -2t = 4 + -6t + 6t Combine like terms: -6t + 6t = 0 80 + -2t = 4 + 0 80 + -2t = 4 Add '-80' to each side of the equation. 80 + -80 + -2t = 4 + -80 Combine like terms: 80 + -80 = 0 0 + -2t = 4 + -80 -2t = 4 + -80 Combine like terms: 4 + -80 = -76 -2t = -76 Divide each side by '-2'. t = 38 Simplifying t = 38
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