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Simplifying -5(3t + -4) + 4t = 6t + -4 Reorder the terms: -5(-4 + 3t) + 4t = 6t + -4 (-4 * -5 + 3t * -5) + 4t = 6t + -4 (20 + -15t) + 4t = 6t + -4 Combine like terms: -15t + 4t = -11t 20 + -11t = 6t + -4 Reorder the terms: 20 + -11t = -4 + 6t Solving 20 + -11t = -4 + 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. 20 + -11t + -6t = -4 + 6t + -6t Combine like terms: -11t + -6t = -17t 20 + -17t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -17t = -4 + 0 20 + -17t = -4 Add '-20' to each side of the equation. 20 + -20 + -17t = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -17t = -4 + -20 -17t = -4 + -20 Combine like terms: -4 + -20 = -24 -17t = -24 Divide each side by '-17'. t = 1.411764706 Simplifying t = 1.411764706
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