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Simplifying 3t + 8(2t + -6) = 2t + 174t Reorder the terms: 3t + 8(-6 + 2t) = 2t + 174t 3t + (-6 * 8 + 2t * 8) = 2t + 174t 3t + (-48 + 16t) = 2t + 174t Reorder the terms: -48 + 3t + 16t = 2t + 174t Combine like terms: 3t + 16t = 19t -48 + 19t = 2t + 174t Combine like terms: 2t + 174t = 176t -48 + 19t = 176t Solving -48 + 19t = 176t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-176t' to each side of the equation. -48 + 19t + -176t = 176t + -176t Combine like terms: 19t + -176t = -157t -48 + -157t = 176t + -176t Combine like terms: 176t + -176t = 0 -48 + -157t = 0 Add '48' to each side of the equation. -48 + 48 + -157t = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -157t = 0 + 48 -157t = 0 + 48 Combine like terms: 0 + 48 = 48 -157t = 48 Divide each side by '-157'. t = -0.3057324841 Simplifying t = -0.3057324841
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