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Simplifying -4(3t + -4) + 6t = 2t + -3 Reorder the terms: -4(-4 + 3t) + 6t = 2t + -3 (-4 * -4 + 3t * -4) + 6t = 2t + -3 (16 + -12t) + 6t = 2t + -3 Combine like terms: -12t + 6t = -6t 16 + -6t = 2t + -3 Reorder the terms: 16 + -6t = -3 + 2t Solving 16 + -6t = -3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 16 + -6t + -2t = -3 + 2t + -2t Combine like terms: -6t + -2t = -8t 16 + -8t = -3 + 2t + -2t Combine like terms: 2t + -2t = 0 16 + -8t = -3 + 0 16 + -8t = -3 Add '-16' to each side of the equation. 16 + -16 + -8t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -8t = -3 + -16 -8t = -3 + -16 Combine like terms: -3 + -16 = -19 -8t = -19 Divide each side by '-8'. t = 2.375 Simplifying t = 2.375
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