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Simplifying -4(2t + -4) + 2t = 3t + -3 Reorder the terms: -4(-4 + 2t) + 2t = 3t + -3 (-4 * -4 + 2t * -4) + 2t = 3t + -3 (16 + -8t) + 2t = 3t + -3 Combine like terms: -8t + 2t = -6t 16 + -6t = 3t + -3 Reorder the terms: 16 + -6t = -3 + 3t Solving 16 + -6t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 16 + -6t + -3t = -3 + 3t + -3t Combine like terms: -6t + -3t = -9t 16 + -9t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + -9t = -3 + 0 16 + -9t = -3 Add '-16' to each side of the equation. 16 + -16 + -9t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -9t = -3 + -16 -9t = -3 + -16 Combine like terms: -3 + -16 = -19 -9t = -19 Divide each side by '-9'. t = 2.111111111 Simplifying t = 2.111111111
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