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Simplifying t + -6 = 4t + -21 Reorder the terms: -6 + t = 4t + -21 Reorder the terms: -6 + t = -21 + 4t Solving -6 + t = -21 + 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. -6 + t + -4t = -21 + 4t + -4t Combine like terms: t + -4t = -3t -6 + -3t = -21 + 4t + -4t Combine like terms: 4t + -4t = 0 -6 + -3t = -21 + 0 -6 + -3t = -21 Add '6' to each side of the equation. -6 + 6 + -3t = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = -21 + 6 -3t = -21 + 6 Combine like terms: -21 + 6 = -15 -3t = -15 Divide each side by '-3'. t = 5 Simplifying t = 5
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