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Simplifying 6(t + -3) = 2(9 + -2) Reorder the terms: 6(-3 + t) = 2(9 + -2) (-3 * 6 + t * 6) = 2(9 + -2) (-18 + 6t) = 2(9 + -2) Combine like terms: 9 + -2 = 7 -18 + 6t = 2(7) Multiply 2 * 7 -18 + 6t = 14 Solving -18 + 6t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6t = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 6t = 14 + 18 6t = 14 + 18 Combine like terms: 14 + 18 = 32 6t = 32 Divide each side by '6'. t = 5.333333333 Simplifying t = 5.333333333
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