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Simplifying 4t + -6 = -27 + 7t Reorder the terms: -6 + 4t = -27 + 7t Solving -6 + 4t = -27 + 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. -6 + 4t + -7t = -27 + 7t + -7t Combine like terms: 4t + -7t = -3t -6 + -3t = -27 + 7t + -7t Combine like terms: 7t + -7t = 0 -6 + -3t = -27 + 0 -6 + -3t = -27 Add '6' to each side of the equation. -6 + 6 + -3t = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = -27 + 6 -3t = -27 + 6 Combine like terms: -27 + 6 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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