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Simplifying -4(t + -3) + 8t = 6t + -4 Reorder the terms: -4(-3 + t) + 8t = 6t + -4 (-3 * -4 + t * -4) + 8t = 6t + -4 (12 + -4t) + 8t = 6t + -4 Combine like terms: -4t + 8t = 4t 12 + 4t = 6t + -4 Reorder the terms: 12 + 4t = -4 + 6t Solving 12 + 4t = -4 + 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. 12 + 4t + -6t = -4 + 6t + -6t Combine like terms: 4t + -6t = -2t 12 + -2t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -2t = -4 + 0 12 + -2t = -4 Add '-12' to each side of the equation. 12 + -12 + -2t = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -4 + -12 -2t = -4 + -12 Combine like terms: -4 + -12 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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