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Simplifying -3(t + 7) + 2 = 6t + -2 + 2 Reorder the terms: -3(7 + t) + 2 = 6t + -2 + 2 (7 * -3 + t * -3) + 2 = 6t + -2 + 2 (-21 + -3t) + 2 = 6t + -2 + 2 Reorder the terms: -21 + 2 + -3t = 6t + -2 + 2 Combine like terms: -21 + 2 = -19 -19 + -3t = 6t + -2 + 2 Reorder the terms: -19 + -3t = -2 + 2 + 6t Combine like terms: -2 + 2 = 0 -19 + -3t = 0 + 6t -19 + -3t = 6t Solving -19 + -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. -19 + -3t + -6t = 6t + -6t Combine like terms: -3t + -6t = -9t -19 + -9t = 6t + -6t Combine like terms: 6t + -6t = 0 -19 + -9t = 0 Add '19' to each side of the equation. -19 + 19 + -9t = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -9t = 0 + 19 -9t = 0 + 19 Combine like terms: 0 + 19 = 19 -9t = 19 Divide each side by '-9'. t = -2.111111111 Simplifying t = -2.111111111
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