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Simplifying -4(t + -2) + 6t = 4t + -6 Reorder the terms: -4(-2 + t) + 6t = 4t + -6 (-2 * -4 + t * -4) + 6t = 4t + -6 (8 + -4t) + 6t = 4t + -6 Combine like terms: -4t + 6t = 2t 8 + 2t = 4t + -6 Reorder the terms: 8 + 2t = -6 + 4t Solving 8 + 2t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + 2t + -4t = -6 + 4t + -4t Combine like terms: 2t + -4t = -2t 8 + -2t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -2t = -6 + 0 8 + -2t = -6 Add '-8' to each side of the equation. 8 + -8 + -2t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -6 + -8 -2t = -6 + -8 Combine like terms: -6 + -8 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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