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Simplifying 3(2t + -4) = -4(x + 1) Reorder the terms: 3(-4 + 2t) = -4(x + 1) (-4 * 3 + 2t * 3) = -4(x + 1) (-12 + 6t) = -4(x + 1) Reorder the terms: -12 + 6t = -4(1 + x) -12 + 6t = (1 * -4 + x * -4) -12 + 6t = (-4 + -4x) Solving -12 + 6t = -4 + -4x 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 + 12 + 6t = -4 + 12 + -4x Combine like terms: -12 + 12 = 0 0 + 6t = -4 + 12 + -4x 6t = -4 + 12 + -4x Combine like terms: -4 + 12 = 8 6t = 8 + -4x Divide each side by '6'. t = 1.333333333 + -0.6666666667x Simplifying t = 1.333333333 + -0.6666666667x
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