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Simplifying -3(2t + -5) + 4t = 6t + -8 Reorder the terms: -3(-5 + 2t) + 4t = 6t + -8 (-5 * -3 + 2t * -3) + 4t = 6t + -8 (15 + -6t) + 4t = 6t + -8 Combine like terms: -6t + 4t = -2t 15 + -2t = 6t + -8 Reorder the terms: 15 + -2t = -8 + 6t Solving 15 + -2t = -8 + 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. 15 + -2t + -6t = -8 + 6t + -6t Combine like terms: -2t + -6t = -8t 15 + -8t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -8t = -8 + 0 15 + -8t = -8 Add '-15' to each side of the equation. 15 + -15 + -8t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -8t = -8 + -15 -8t = -8 + -15 Combine like terms: -8 + -15 = -23 -8t = -23 Divide each side by '-8'. t = 2.875 Simplifying t = 2.875
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