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Simplifying 4(t + 5) + -3 = 6c + -13 Reorder the terms: 4(5 + t) + -3 = 6c + -13 (5 * 4 + t * 4) + -3 = 6c + -13 (20 + 4t) + -3 = 6c + -13 Reorder the terms: 20 + -3 + 4t = 6c + -13 Combine like terms: 20 + -3 = 17 17 + 4t = 6c + -13 Reorder the terms: 17 + 4t = -13 + 6c Solving 17 + 4t = -13 + 6c Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4t = -13 + -17 + 6c Combine like terms: 17 + -17 = 0 0 + 4t = -13 + -17 + 6c 4t = -13 + -17 + 6c Combine like terms: -13 + -17 = -30 4t = -30 + 6c Divide each side by '4'. t = -7.5 + 1.5c Simplifying t = -7.5 + 1.5c
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