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Simplifying 6(3x + -1) = 18x + -1tu Reorder the terms: 6(-1 + 3x) = 18x + -1tu (-1 * 6 + 3x * 6) = 18x + -1tu (-6 + 18x) = 18x + -1tu Reorder the terms: -6 + 18x = -1tu + 18x Add '-18x' to each side of the equation. -6 + 18x + -18x = -1tu + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + 0 = -1tu + 18x + -18x -6 = -1tu + 18x + -18x Combine like terms: 18x + -18x = 0 -6 = -1tu + 0 -6 = -1tu Solving -6 = -1tu Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 'tu' to each side of the equation. -6 + tu = -1tu + tu Combine like terms: -1tu + tu = 0 -6 + tu = 0 Add '6' to each side of the equation. -6 + 6 + tu = 0 + 6 Combine like terms: -6 + 6 = 0 0 + tu = 0 + 6 tu = 0 + 6 Combine like terms: 0 + 6 = 6 tu = 6 Divide each side by 'u'. t = 6u-1 Simplifying t = 6u-1
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