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Simplifying 9(t + -2) = 4(t + -8) Reorder the terms: 9(-2 + t) = 4(t + -8) (-2 * 9 + t * 9) = 4(t + -8) (-18 + 9t) = 4(t + -8) Reorder the terms: -18 + 9t = 4(-8 + t) -18 + 9t = (-8 * 4 + t * 4) -18 + 9t = (-32 + 4t) Solving -18 + 9t = -32 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -18 + 9t + -4t = -32 + 4t + -4t Combine like terms: 9t + -4t = 5t -18 + 5t = -32 + 4t + -4t Combine like terms: 4t + -4t = 0 -18 + 5t = -32 + 0 -18 + 5t = -32 Add '18' to each side of the equation. -18 + 18 + 5t = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 5t = -32 + 18 5t = -32 + 18 Combine like terms: -32 + 18 = -14 5t = -14 Divide each side by '5'. t = -2.8 Simplifying t = -2.8
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