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Simplifying -9(-5t + -6) = -6 + 19t + -12 Reorder the terms: -9(-6 + -5t) = -6 + 19t + -12 (-6 * -9 + -5t * -9) = -6 + 19t + -12 (54 + 45t) = -6 + 19t + -12 Reorder the terms: 54 + 45t = -6 + -12 + 19t Combine like terms: -6 + -12 = -18 54 + 45t = -18 + 19t Solving 54 + 45t = -18 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. 54 + 45t + -19t = -18 + 19t + -19t Combine like terms: 45t + -19t = 26t 54 + 26t = -18 + 19t + -19t Combine like terms: 19t + -19t = 0 54 + 26t = -18 + 0 54 + 26t = -18 Add '-54' to each side of the equation. 54 + -54 + 26t = -18 + -54 Combine like terms: 54 + -54 = 0 0 + 26t = -18 + -54 26t = -18 + -54 Combine like terms: -18 + -54 = -72 26t = -72 Divide each side by '26'. t = -2.769230769 Simplifying t = -2.769230769
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