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Simplifying -4(2t + -4) + 5t = 6t + -6 Reorder the terms: -4(-4 + 2t) + 5t = 6t + -6 (-4 * -4 + 2t * -4) + 5t = 6t + -6 (16 + -8t) + 5t = 6t + -6 Combine like terms: -8t + 5t = -3t 16 + -3t = 6t + -6 Reorder the terms: 16 + -3t = -6 + 6t Solving 16 + -3t = -6 + 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. 16 + -3t + -6t = -6 + 6t + -6t Combine like terms: -3t + -6t = -9t 16 + -9t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -9t = -6 + 0 16 + -9t = -6 Add '-16' to each side of the equation. 16 + -16 + -9t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -9t = -6 + -16 -9t = -6 + -16 Combine like terms: -6 + -16 = -22 -9t = -22 Divide each side by '-9'. t = 2.444444444 Simplifying t = 2.444444444
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