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Simplifying -2(4t + -8) + 6t = 7t + -3 Reorder the terms: -2(-8 + 4t) + 6t = 7t + -3 (-8 * -2 + 4t * -2) + 6t = 7t + -3 (16 + -8t) + 6t = 7t + -3 Combine like terms: -8t + 6t = -2t 16 + -2t = 7t + -3 Reorder the terms: 16 + -2t = -3 + 7t Solving 16 + -2t = -3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 16 + -2t + -7t = -3 + 7t + -7t Combine like terms: -2t + -7t = -9t 16 + -9t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -9t = -3 + 0 16 + -9t = -3 Add '-16' to each side of the equation. 16 + -16 + -9t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -9t = -3 + -16 -9t = -3 + -16 Combine like terms: -3 + -16 = -19 -9t = -19 Divide each side by '-9'. t = 2.111111111 Simplifying t = 2.111111111
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