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Simplifying -5(3t + -3) + 7t = 5t + -3 Reorder the terms: -5(-3 + 3t) + 7t = 5t + -3 (-3 * -5 + 3t * -5) + 7t = 5t + -3 (15 + -15t) + 7t = 5t + -3 Combine like terms: -15t + 7t = -8t 15 + -8t = 5t + -3 Reorder the terms: 15 + -8t = -3 + 5t Solving 15 + -8t = -3 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 15 + -8t + -5t = -3 + 5t + -5t Combine like terms: -8t + -5t = -13t 15 + -13t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -13t = -3 + 0 15 + -13t = -3 Add '-15' to each side of the equation. 15 + -15 + -13t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -3 + -15 -13t = -3 + -15 Combine like terms: -3 + -15 = -18 -13t = -18 Divide each side by '-13'. t = 1.384615385 Simplifying t = 1.384615385
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