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Simplifying -5(3t + -4) + 9t = 7t + -2 Reorder the terms: -5(-4 + 3t) + 9t = 7t + -2 (-4 * -5 + 3t * -5) + 9t = 7t + -2 (20 + -15t) + 9t = 7t + -2 Combine like terms: -15t + 9t = -6t 20 + -6t = 7t + -2 Reorder the terms: 20 + -6t = -2 + 7t Solving 20 + -6t = -2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + -6t + -7t = -2 + 7t + -7t Combine like terms: -6t + -7t = -13t 20 + -13t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -13t = -2 + 0 20 + -13t = -2 Add '-20' to each side of the equation. 20 + -20 + -13t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -13t = -2 + -20 -13t = -2 + -20 Combine like terms: -2 + -20 = -22 -13t = -22 Divide each side by '-13'. t = 1.692307692 Simplifying t = 1.692307692
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