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Simplifying -4(t + -5) + 6t = 8t + -7 Reorder the terms: -4(-5 + t) + 6t = 8t + -7 (-5 * -4 + t * -4) + 6t = 8t + -7 (20 + -4t) + 6t = 8t + -7 Combine like terms: -4t + 6t = 2t 20 + 2t = 8t + -7 Reorder the terms: 20 + 2t = -7 + 8t Solving 20 + 2t = -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. 20 + 2t + -8t = -7 + 8t + -8t Combine like terms: 2t + -8t = -6t 20 + -6t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -6t = -7 + 0 20 + -6t = -7 Add '-20' to each side of the equation. 20 + -20 + -6t = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -6t = -7 + -20 -6t = -7 + -20 Combine like terms: -7 + -20 = -27 -6t = -27 Divide each side by '-6'. t = 4.5 Simplifying t = 4.5
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