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Simplifying 8(t + -3) = 4t + 14 Reorder the terms: 8(-3 + t) = 4t + 14 (-3 * 8 + t * 8) = 4t + 14 (-24 + 8t) = 4t + 14 Reorder the terms: -24 + 8t = 14 + 4t Solving -24 + 8t = 14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -24 + 8t + -4t = 14 + 4t + -4t Combine like terms: 8t + -4t = 4t -24 + 4t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 -24 + 4t = 14 + 0 -24 + 4t = 14 Add '24' to each side of the equation. -24 + 24 + 4t = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 4t = 14 + 24 4t = 14 + 24 Combine like terms: 14 + 24 = 38 4t = 38 Divide each side by '4'. t = 9.5 Simplifying t = 9.5
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