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Simplifying 6t + -15 + 4t = 4t + 12 Reorder the terms: -15 + 6t + 4t = 4t + 12 Combine like terms: 6t + 4t = 10t -15 + 10t = 4t + 12 Reorder the terms: -15 + 10t = 12 + 4t Solving -15 + 10t = 12 + 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. -15 + 10t + -4t = 12 + 4t + -4t Combine like terms: 10t + -4t = 6t -15 + 6t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -15 + 6t = 12 + 0 -15 + 6t = 12 Add '15' to each side of the equation. -15 + 15 + 6t = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 6t = 12 + 15 6t = 12 + 15 Combine like terms: 12 + 15 = 27 6t = 27 Divide each side by '6'. t = 4.5 Simplifying t = 4.5
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