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Simplifying 5t + -4 = 2(t + 7) Reorder the terms: -4 + 5t = 2(t + 7) Reorder the terms: -4 + 5t = 2(7 + t) -4 + 5t = (7 * 2 + t * 2) -4 + 5t = (14 + 2t) Solving -4 + 5t = 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. -4 + 5t + -2t = 14 + 2t + -2t Combine like terms: 5t + -2t = 3t -4 + 3t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 3t = 14 + 0 -4 + 3t = 14 Add '4' to each side of the equation. -4 + 4 + 3t = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 14 + 4 3t = 14 + 4 Combine like terms: 14 + 4 = 18 3t = 18 Divide each side by '3'. t = 6 Simplifying t = 6
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