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Simplifying 3(tv + -4) = 2(tv + 1) + 33 Reorder the terms: 3(-4 + tv) = 2(tv + 1) + 33 (-4 * 3 + tv * 3) = 2(tv + 1) + 33 (-12 + 3tv) = 2(tv + 1) + 33 Reorder the terms: -12 + 3tv = 2(1 + tv) + 33 -12 + 3tv = (1 * 2 + tv * 2) + 33 -12 + 3tv = (2 + 2tv) + 33 Reorder the terms: -12 + 3tv = 2 + 33 + 2tv Combine like terms: 2 + 33 = 35 -12 + 3tv = 35 + 2tv Solving -12 + 3tv = 35 + 2tv Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2tv' to each side of the equation. -12 + 3tv + -2tv = 35 + 2tv + -2tv Combine like terms: 3tv + -2tv = 1tv -12 + 1tv = 35 + 2tv + -2tv Combine like terms: 2tv + -2tv = 0 -12 + 1tv = 35 + 0 -12 + 1tv = 35 Add '12' to each side of the equation. -12 + 12 + 1tv = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 1tv = 35 + 12 1tv = 35 + 12 Combine like terms: 35 + 12 = 47 1tv = 47 Divide each side by '1v'. t = 47v-1 Simplifying t = 47v-1
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