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Simplifying 4(t + -3) + 8t = 6t(2t + 2) + -8 Reorder the terms: 4(-3 + t) + 8t = 6t(2t + 2) + -8 (-3 * 4 + t * 4) + 8t = 6t(2t + 2) + -8 (-12 + 4t) + 8t = 6t(2t + 2) + -8 Combine like terms: 4t + 8t = 12t -12 + 12t = 6t(2t + 2) + -8 Reorder the terms: -12 + 12t = 6t(2 + 2t) + -8 -12 + 12t = (2 * 6t + 2t * 6t) + -8 -12 + 12t = (12t + 12t2) + -8 Reorder the terms: -12 + 12t = -8 + 12t + 12t2 Add '-12t' to each side of the equation. -12 + 12t + -12t = -8 + 12t + -12t + 12t2 Combine like terms: 12t + -12t = 0 -12 + 0 = -8 + 12t + -12t + 12t2 -12 = -8 + 12t + -12t + 12t2 Combine like terms: 12t + -12t = 0 -12 = -8 + 0 + 12t2 -12 = -8 + 12t2 Solving -12 = -8 + 12t2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t2' to each side of the equation. -12 + -12t2 = -8 + 12t2 + -12t2 Combine like terms: 12t2 + -12t2 = 0 -12 + -12t2 = -8 + 0 -12 + -12t2 = -8 Add '12' to each side of the equation. -12 + 12 + -12t2 = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -12t2 = -8 + 12 -12t2 = -8 + 12 Combine like terms: -8 + 12 = 4 -12t2 = 4 Divide each side by '-12'. t2 = -0.3333333333 Simplifying t2 = -0.3333333333 Reorder the terms: 0.3333333333 + t2 = -0.3333333333 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.3333333333 + t2 = 0.0000000000 The solution to this equation could not be determined.
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