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Simplifying 4(t + -5) + 6t = 4t + -5 Reorder the terms: 4(-5 + t) + 6t = 4t + -5 (-5 * 4 + t * 4) + 6t = 4t + -5 (-20 + 4t) + 6t = 4t + -5 Combine like terms: 4t + 6t = 10t -20 + 10t = 4t + -5 Reorder the terms: -20 + 10t = -5 + 4t Solving -20 + 10t = -5 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -20 + 10t + -4t = -5 + 4t + -4t Combine like terms: 10t + -4t = 6t -20 + 6t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 -20 + 6t = -5 + 0 -20 + 6t = -5 Add '20' to each side of the equation. -20 + 20 + 6t = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 6t = -5 + 20 6t = -5 + 20 Combine like terms: -5 + 20 = 15 6t = 15 Divide each side by '6'. t = 2.5 Simplifying t = 2.5
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