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Simplifying -2(t + 1) + 6t = 9t + -4 Reorder the terms: -2(1 + t) + 6t = 9t + -4 (1 * -2 + t * -2) + 6t = 9t + -4 (-2 + -2t) + 6t = 9t + -4 Combine like terms: -2t + 6t = 4t -2 + 4t = 9t + -4 Reorder the terms: -2 + 4t = -4 + 9t Solving -2 + 4t = -4 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -2 + 4t + -9t = -4 + 9t + -9t Combine like terms: 4t + -9t = -5t -2 + -5t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + -5t = -4 + 0 -2 + -5t = -4 Add '2' to each side of the equation. -2 + 2 + -5t = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -5t = -4 + 2 -5t = -4 + 2 Combine like terms: -4 + 2 = -2 -5t = -2 Divide each side by '-5'. t = 0.4 Simplifying t = 0.4
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