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Simplifying 5t + -3 = 12 + 7t Reorder the terms: -3 + 5t = 12 + 7t Solving -3 + 5t = 12 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -3 + 5t + -7t = 12 + 7t + -7t Combine like terms: 5t + -7t = -2t -3 + -2t = 12 + 7t + -7t Combine like terms: 7t + -7t = 0 -3 + -2t = 12 + 0 -3 + -2t = 12 Add '3' to each side of the equation. -3 + 3 + -2t = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -2t = 12 + 3 -2t = 12 + 3 Combine like terms: 12 + 3 = 15 -2t = 15 Divide each side by '-2'. t = -7.5 Simplifying t = -7.5
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