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Simplifying 6(t + -2) = 2(9t + -2) Reorder the terms: 6(-2 + t) = 2(9t + -2) (-2 * 6 + t * 6) = 2(9t + -2) (-12 + 6t) = 2(9t + -2) Reorder the terms: -12 + 6t = 2(-2 + 9t) -12 + 6t = (-2 * 2 + 9t * 2) -12 + 6t = (-4 + 18t) Solving -12 + 6t = -4 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -12 + 6t + -18t = -4 + 18t + -18t Combine like terms: 6t + -18t = -12t -12 + -12t = -4 + 18t + -18t Combine like terms: 18t + -18t = 0 -12 + -12t = -4 + 0 -12 + -12t = -4 Add '12' to each side of the equation. -12 + 12 + -12t = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -12t = -4 + 12 -12t = -4 + 12 Combine like terms: -4 + 12 = 8 -12t = 8 Divide each side by '-12'. t = -0.6666666667 Simplifying t = -0.6666666667
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