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Simplifying 4(2t + -8) + 16 = 2t + 14 Reorder the terms: 4(-8 + 2t) + 16 = 2t + 14 (-8 * 4 + 2t * 4) + 16 = 2t + 14 (-32 + 8t) + 16 = 2t + 14 Reorder the terms: -32 + 16 + 8t = 2t + 14 Combine like terms: -32 + 16 = -16 -16 + 8t = 2t + 14 Reorder the terms: -16 + 8t = 14 + 2t Solving -16 + 8t = 14 + 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. -16 + 8t + -2t = 14 + 2t + -2t Combine like terms: 8t + -2t = 6t -16 + 6t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -16 + 6t = 14 + 0 -16 + 6t = 14 Add '16' to each side of the equation. -16 + 16 + 6t = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 6t = 14 + 16 6t = 14 + 16 Combine like terms: 14 + 16 = 30 6t = 30 Divide each side by '6'. t = 5 Simplifying t = 5
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