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Simplifying 7t + -12 = 3t + -10 Reorder the terms: -12 + 7t = 3t + -10 Reorder the terms: -12 + 7t = -10 + 3t Solving -12 + 7t = -10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -12 + 7t + -3t = -10 + 3t + -3t Combine like terms: 7t + -3t = 4t -12 + 4t = -10 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 4t = -10 + 0 -12 + 4t = -10 Add '12' to each side of the equation. -12 + 12 + 4t = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = -10 + 12 4t = -10 + 12 Combine like terms: -10 + 12 = 2 4t = 2 Divide each side by '4'. t = 0.5 Simplifying t = 0.5
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