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Simplifying 4(2t + 4) + 6t = 3t + -28 Reorder the terms: 4(4 + 2t) + 6t = 3t + -28 (4 * 4 + 2t * 4) + 6t = 3t + -28 (16 + 8t) + 6t = 3t + -28 Combine like terms: 8t + 6t = 14t 16 + 14t = 3t + -28 Reorder the terms: 16 + 14t = -28 + 3t Solving 16 + 14t = -28 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 16 + 14t + -3t = -28 + 3t + -3t Combine like terms: 14t + -3t = 11t 16 + 11t = -28 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + 11t = -28 + 0 16 + 11t = -28 Add '-16' to each side of the equation. 16 + -16 + 11t = -28 + -16 Combine like terms: 16 + -16 = 0 0 + 11t = -28 + -16 11t = -28 + -16 Combine like terms: -28 + -16 = -44 11t = -44 Divide each side by '11'. t = -4 Simplifying t = -4
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