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Simplifying 6(t + -4) + 8t = 7(21t + 3) + -9 Reorder the terms: 6(-4 + t) + 8t = 7(21t + 3) + -9 (-4 * 6 + t * 6) + 8t = 7(21t + 3) + -9 (-24 + 6t) + 8t = 7(21t + 3) + -9 Combine like terms: 6t + 8t = 14t -24 + 14t = 7(21t + 3) + -9 Reorder the terms: -24 + 14t = 7(3 + 21t) + -9 -24 + 14t = (3 * 7 + 21t * 7) + -9 -24 + 14t = (21 + 147t) + -9 Reorder the terms: -24 + 14t = 21 + -9 + 147t Combine like terms: 21 + -9 = 12 -24 + 14t = 12 + 147t Solving -24 + 14t = 12 + 147t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-147t' to each side of the equation. -24 + 14t + -147t = 12 + 147t + -147t Combine like terms: 14t + -147t = -133t -24 + -133t = 12 + 147t + -147t Combine like terms: 147t + -147t = 0 -24 + -133t = 12 + 0 -24 + -133t = 12 Add '24' to each side of the equation. -24 + 24 + -133t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -133t = 12 + 24 -133t = 12 + 24 Combine like terms: 12 + 24 = 36 -133t = 36 Divide each side by '-133'. t = -0.2706766917 Simplifying t = -0.2706766917
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