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Simplifying 6w + -4(3 + -5w) + 3t = 0 6w + (3 * -4 + -5w * -4) + 3t = 0 6w + (-12 + 20w) + 3t = 0 Reorder the terms: -12 + 3t + 6w + 20w = 0 Combine like terms: 6w + 20w = 26w -12 + 3t + 26w = 0 Solving -12 + 3t + 26w = 0 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 + 3t + 12 + 26w = 0 + 12 Reorder the terms: -12 + 12 + 3t + 26w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3t + 26w = 0 + 12 3t + 26w = 0 + 12 Combine like terms: 0 + 12 = 12 3t + 26w = 12 Add '-26w' to each side of the equation. 3t + 26w + -26w = 12 + -26w Combine like terms: 26w + -26w = 0 3t + 0 = 12 + -26w 3t = 12 + -26w Divide each side by '3'. t = 4 + -8.666666667w Simplifying t = 4 + -8.666666667w
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