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Simplifying -4(5t + -3) + 8t = 6t + -7 Reorder the terms: -4(-3 + 5t) + 8t = 6t + -7 (-3 * -4 + 5t * -4) + 8t = 6t + -7 (12 + -20t) + 8t = 6t + -7 Combine like terms: -20t + 8t = -12t 12 + -12t = 6t + -7 Reorder the terms: 12 + -12t = -7 + 6t Solving 12 + -12t = -7 + 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. 12 + -12t + -6t = -7 + 6t + -6t Combine like terms: -12t + -6t = -18t 12 + -18t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -18t = -7 + 0 12 + -18t = -7 Add '-12' to each side of the equation. 12 + -12 + -18t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -18t = -7 + -12 -18t = -7 + -12 Combine like terms: -7 + -12 = -19 -18t = -19 Divide each side by '-18'. t = 1.055555556 Simplifying t = 1.055555556
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