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Simplifying 7(-6 + -2t) = 9t + 4 (-6 * 7 + -2t * 7) = 9t + 4 (-42 + -14t) = 9t + 4 Reorder the terms: -42 + -14t = 4 + 9t Solving -42 + -14t = 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. -42 + -14t + -9t = 4 + 9t + -9t Combine like terms: -14t + -9t = -23t -42 + -23t = 4 + 9t + -9t Combine like terms: 9t + -9t = 0 -42 + -23t = 4 + 0 -42 + -23t = 4 Add '42' to each side of the equation. -42 + 42 + -23t = 4 + 42 Combine like terms: -42 + 42 = 0 0 + -23t = 4 + 42 -23t = 4 + 42 Combine like terms: 4 + 42 = 46 -23t = 46 Divide each side by '-23'. t = -2 Simplifying t = -2
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