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Simplifying -5(t + -4) + 9t = 6t + -3 Reorder the terms: -5(-4 + t) + 9t = 6t + -3 (-4 * -5 + t * -5) + 9t = 6t + -3 (20 + -5t) + 9t = 6t + -3 Combine like terms: -5t + 9t = 4t 20 + 4t = 6t + -3 Reorder the terms: 20 + 4t = -3 + 6t Solving 20 + 4t = -3 + 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. 20 + 4t + -6t = -3 + 6t + -6t Combine like terms: 4t + -6t = -2t 20 + -2t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -2t = -3 + 0 20 + -2t = -3 Add '-20' to each side of the equation. 20 + -20 + -2t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -2t = -3 + -20 -2t = -3 + -20 Combine like terms: -3 + -20 = -23 -2t = -23 Divide each side by '-2'. t = 11.5 Simplifying t = 11.5
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