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Simplifying 3(t + 7) + -20 = 6t Reorder the terms: 3(7 + t) + -20 = 6t (7 * 3 + t * 3) + -20 = 6t (21 + 3t) + -20 = 6t Reorder the terms: 21 + -20 + 3t = 6t Combine like terms: 21 + -20 = 1 1 + 3t = 6t Solving 1 + 3t = 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. 1 + 3t + -6t = 6t + -6t Combine like terms: 3t + -6t = -3t 1 + -3t = 6t + -6t Combine like terms: 6t + -6t = 0 1 + -3t = 0 Add '-1' to each side of the equation. 1 + -1 + -3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 0 + -1 -3t = 0 + -1 Combine like terms: 0 + -1 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333
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