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Simplifying (t + -3) = 6t + 21 Reorder the terms: (-3 + t) = 6t + 21 Remove parenthesis around (-3 + t) -3 + t = 6t + 21 Reorder the terms: -3 + t = 21 + 6t Solving -3 + 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. -3 + t + -6t = 21 + 6t + -6t Combine like terms: t + -6t = -5t -3 + -5t = 21 + 6t + -6t Combine like terms: 6t + -6t = 0 -3 + -5t = 21 + 0 -3 + -5t = 21 Add '3' to each side of the equation. -3 + 3 + -5t = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -5t = 21 + 3 -5t = 21 + 3 Combine like terms: 21 + 3 = 24 -5t = 24 Divide each side by '-5'. t = -4.8 Simplifying t = -4.8
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