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Simplifying t + -7 = 6t + 21 Reorder the terms: -7 + t = 6t + 21 Reorder the terms: -7 + t = 21 + 6t Solving -7 + t = 21 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -7 + t + -6t = 21 + 6t + -6t Combine like terms: t + -6t = -5t -7 + -5t = 21 + 6t + -6t Combine like terms: 6t + -6t = 0 -7 + -5t = 21 + 0 -7 + -5t = 21 Add '7' to each side of the equation. -7 + 7 + -5t = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -5t = 21 + 7 -5t = 21 + 7 Combine like terms: 21 + 7 = 28 -5t = 28 Divide each side by '-5'. t = -5.6 Simplifying t = -5.6
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