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Simplifying -5(3t + -2) + 9t = 2t + -3 Reorder the terms: -5(-2 + 3t) + 9t = 2t + -3 (-2 * -5 + 3t * -5) + 9t = 2t + -3 (10 + -15t) + 9t = 2t + -3 Combine like terms: -15t + 9t = -6t 10 + -6t = 2t + -3 Reorder the terms: 10 + -6t = -3 + 2t Solving 10 + -6t = -3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + -6t + -2t = -3 + 2t + -2t Combine like terms: -6t + -2t = -8t 10 + -8t = -3 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -8t = -3 + 0 10 + -8t = -3 Add '-10' to each side of the equation. 10 + -10 + -8t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -8t = -3 + -10 -8t = -3 + -10 Combine like terms: -3 + -10 = -13 -8t = -13 Divide each side by '-8'. t = 1.625 Simplifying t = 1.625
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