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Simplifying 4(t + 5) + -3 = 6t + -13 Reorder the terms: 4(5 + t) + -3 = 6t + -13 (5 * 4 + t * 4) + -3 = 6t + -13 (20 + 4t) + -3 = 6t + -13 Reorder the terms: 20 + -3 + 4t = 6t + -13 Combine like terms: 20 + -3 = 17 17 + 4t = 6t + -13 Reorder the terms: 17 + 4t = -13 + 6t Solving 17 + 4t = -13 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 17 + 4t + -6t = -13 + 6t + -6t Combine like terms: 4t + -6t = -2t 17 + -2t = -13 + 6t + -6t Combine like terms: 6t + -6t = 0 17 + -2t = -13 + 0 17 + -2t = -13 Add '-17' to each side of the equation. 17 + -17 + -2t = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -2t = -13 + -17 -2t = -13 + -17 Combine like terms: -13 + -17 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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