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Simplifying -4(2t + -5) + 6t = 3t + -7 Reorder the terms: -4(-5 + 2t) + 6t = 3t + -7 (-5 * -4 + 2t * -4) + 6t = 3t + -7 (20 + -8t) + 6t = 3t + -7 Combine like terms: -8t + 6t = -2t 20 + -2t = 3t + -7 Reorder the terms: 20 + -2t = -7 + 3t Solving 20 + -2t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 20 + -2t + -3t = -7 + 3t + -3t Combine like terms: -2t + -3t = -5t 20 + -5t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -5t = -7 + 0 20 + -5t = -7 Add '-20' to each side of the equation. 20 + -20 + -5t = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -5t = -7 + -20 -5t = -7 + -20 Combine like terms: -7 + -20 = -27 -5t = -27 Divide each side by '-5'. t = 5.4 Simplifying t = 5.4
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