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Simplifying -3(5t + -2) + 4t = 6t + -2 Reorder the terms: -3(-2 + 5t) + 4t = 6t + -2 (-2 * -3 + 5t * -3) + 4t = 6t + -2 (6 + -15t) + 4t = 6t + -2 Combine like terms: -15t + 4t = -11t 6 + -11t = 6t + -2 Reorder the terms: 6 + -11t = -2 + 6t Solving 6 + -11t = -2 + 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. 6 + -11t + -6t = -2 + 6t + -6t Combine like terms: -11t + -6t = -17t 6 + -17t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 6 + -17t = -2 + 0 6 + -17t = -2 Add '-6' to each side of the equation. 6 + -6 + -17t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -17t = -2 + -6 -17t = -2 + -6 Combine like terms: -2 + -6 = -8 -17t = -8 Divide each side by '-17'. t = 0.4705882353 Simplifying t = 0.4705882353
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