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Simplifying 6t + 3(5t + -4) = 5(15 + -4w) Reorder the terms: 6t + 3(-4 + 5t) = 5(15 + -4w) 6t + (-4 * 3 + 5t * 3) = 5(15 + -4w) 6t + (-12 + 15t) = 5(15 + -4w) Reorder the terms: -12 + 6t + 15t = 5(15 + -4w) Combine like terms: 6t + 15t = 21t -12 + 21t = 5(15 + -4w) -12 + 21t = (15 * 5 + -4w * 5) -12 + 21t = (75 + -20w) Solving -12 + 21t = 75 + -20w Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21t = 75 + 12 + -20w Combine like terms: -12 + 12 = 0 0 + 21t = 75 + 12 + -20w 21t = 75 + 12 + -20w Combine like terms: 75 + 12 = 87 21t = 87 + -20w Divide each side by '21'. t = 4.142857143 + -0.9523809524w Simplifying t = 4.142857143 + -0.9523809524w
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