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Simplifying -3t + 15 + 6t = 5t + -7 Reorder the terms: 15 + -3t + 6t = 5t + -7 Combine like terms: -3t + 6t = 3t 15 + 3t = 5t + -7 Reorder the terms: 15 + 3t = -7 + 5t Solving 15 + 3t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 15 + 3t + -5t = -7 + 5t + -5t Combine like terms: 3t + -5t = -2t 15 + -2t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -2t = -7 + 0 15 + -2t = -7 Add '-15' to each side of the equation. 15 + -15 + -2t = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -7 + -15 -2t = -7 + -15 Combine like terms: -7 + -15 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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