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Simplifying 4t + -12 = 7t + 10 Reorder the terms: -12 + 4t = 7t + 10 Reorder the terms: -12 + 4t = 10 + 7t Solving -12 + 4t = 10 + 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. -12 + 4t + -7t = 10 + 7t + -7t Combine like terms: 4t + -7t = -3t -12 + -3t = 10 + 7t + -7t Combine like terms: 7t + -7t = 0 -12 + -3t = 10 + 0 -12 + -3t = 10 Add '12' to each side of the equation. -12 + 12 + -3t = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 10 + 12 -3t = 10 + 12 Combine like terms: 10 + 12 = 22 -3t = 22 Divide each side by '-3'. t = -7.333333333 Simplifying t = -7.333333333
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