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Simplifying 5(3t + -3) + 3t = 5t + -7 Reorder the terms: 5(-3 + 3t) + 3t = 5t + -7 (-3 * 5 + 3t * 5) + 3t = 5t + -7 (-15 + 15t) + 3t = 5t + -7 Combine like terms: 15t + 3t = 18t -15 + 18t = 5t + -7 Reorder the terms: -15 + 18t = -7 + 5t Solving -15 + 18t = -7 + 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 + 18t + -5t = -7 + 5t + -5t Combine like terms: 18t + -5t = 13t -15 + 13t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -15 + 13t = -7 + 0 -15 + 13t = -7 Add '15' to each side of the equation. -15 + 15 + 13t = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 13t = -7 + 15 13t = -7 + 15 Combine like terms: -7 + 15 = 8 13t = 8 Divide each side by '13'. t = 0.6153846154 Simplifying t = 0.6153846154
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