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Simplifying -5(3t + -2) + 6t = 4t + -5 Reorder the terms: -5(-2 + 3t) + 6t = 4t + -5 (-2 * -5 + 3t * -5) + 6t = 4t + -5 (10 + -15t) + 6t = 4t + -5 Combine like terms: -15t + 6t = -9t 10 + -9t = 4t + -5 Reorder the terms: 10 + -9t = -5 + 4t Solving 10 + -9t = -5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 10 + -9t + -4t = -5 + 4t + -4t Combine like terms: -9t + -4t = -13t 10 + -13t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -13t = -5 + 0 10 + -13t = -5 Add '-10' to each side of the equation. 10 + -10 + -13t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = -5 + -10 -13t = -5 + -10 Combine like terms: -5 + -10 = -15 -13t = -15 Divide each side by '-13'. t = 1.153846154 Simplifying t = 1.153846154
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