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Simplifying -5(3t + -3) + 4t = 6t + -8 Reorder the terms: -5(-3 + 3t) + 4t = 6t + -8 (-3 * -5 + 3t * -5) + 4t = 6t + -8 (15 + -15t) + 4t = 6t + -8 Combine like terms: -15t + 4t = -11t 15 + -11t = 6t + -8 Reorder the terms: 15 + -11t = -8 + 6t Solving 15 + -11t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 15 + -11t + -6t = -8 + 6t + -6t Combine like terms: -11t + -6t = -17t 15 + -17t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -17t = -8 + 0 15 + -17t = -8 Add '-15' to each side of the equation. 15 + -15 + -17t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -17t = -8 + -15 -17t = -8 + -15 Combine like terms: -8 + -15 = -23 -17t = -23 Divide each side by '-17'. t = 1.352941176 Simplifying t = 1.352941176
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