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Simplifying 6(3t + -2) + 4(t + -5) = 75 Reorder the terms: 6(-2 + 3t) + 4(t + -5) = 75 (-2 * 6 + 3t * 6) + 4(t + -5) = 75 (-12 + 18t) + 4(t + -5) = 75 Reorder the terms: -12 + 18t + 4(-5 + t) = 75 -12 + 18t + (-5 * 4 + t * 4) = 75 -12 + 18t + (-20 + 4t) = 75 Reorder the terms: -12 + -20 + 18t + 4t = 75 Combine like terms: -12 + -20 = -32 -32 + 18t + 4t = 75 Combine like terms: 18t + 4t = 22t -32 + 22t = 75 Solving -32 + 22t = 75 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 22t = 75 + 32 Combine like terms: -32 + 32 = 0 0 + 22t = 75 + 32 22t = 75 + 32 Combine like terms: 75 + 32 = 107 22t = 107 Divide each side by '22'. t = 4.863636364 Simplifying t = 4.863636364
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