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Simplifying 3t + 8(2t + -6) = 16 + -4(v + 7) Reorder the terms: 3t + 8(-6 + 2t) = 16 + -4(v + 7) 3t + (-6 * 8 + 2t * 8) = 16 + -4(v + 7) 3t + (-48 + 16t) = 16 + -4(v + 7) Reorder the terms: -48 + 3t + 16t = 16 + -4(v + 7) Combine like terms: 3t + 16t = 19t -48 + 19t = 16 + -4(v + 7) Reorder the terms: -48 + 19t = 16 + -4(7 + v) -48 + 19t = 16 + (7 * -4 + v * -4) -48 + 19t = 16 + (-28 + -4v) Combine like terms: 16 + -28 = -12 -48 + 19t = -12 + -4v Solving -48 + 19t = -12 + -4v Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 19t = -12 + 48 + -4v Combine like terms: -48 + 48 = 0 0 + 19t = -12 + 48 + -4v 19t = -12 + 48 + -4v Combine like terms: -12 + 48 = 36 19t = 36 + -4v Divide each side by '19'. t = 1.894736842 + -0.2105263158v Simplifying t = 1.894736842 + -0.2105263158v
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