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Simplifying 10 = 2(3t + -8) + -4t Reorder the terms: 10 = 2(-8 + 3t) + -4t 10 = (-8 * 2 + 3t * 2) + -4t 10 = (-16 + 6t) + -4t Combine like terms: 6t + -4t = 2t 10 = -16 + 2t Solving 10 = -16 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + -2t = -16 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -2t = -16 + 0 10 + -2t = -16 Add '-10' to each side of the equation. 10 + -10 + -2t = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = -16 + -10 -2t = -16 + -10 Combine like terms: -16 + -10 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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