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Simplifying -2(t + -4) + 6t = 8t + -7 Reorder the terms: -2(-4 + t) + 6t = 8t + -7 (-4 * -2 + t * -2) + 6t = 8t + -7 (8 + -2t) + 6t = 8t + -7 Combine like terms: -2t + 6t = 4t 8 + 4t = 8t + -7 Reorder the terms: 8 + 4t = -7 + 8t Solving 8 + 4t = -7 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + 4t + -8t = -7 + 8t + -8t Combine like terms: 4t + -8t = -4t 8 + -4t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -4t = -7 + 0 8 + -4t = -7 Add '-8' to each side of the equation. 8 + -8 + -4t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -7 + -8 -4t = -7 + -8 Combine like terms: -7 + -8 = -15 -4t = -15 Divide each side by '-4'. t = 3.75 Simplifying t = 3.75
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