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Simplifying 6(-1t + -2) + 9t = 4t + 27 Reorder the terms: 6(-2 + -1t) + 9t = 4t + 27 (-2 * 6 + -1t * 6) + 9t = 4t + 27 (-12 + -6t) + 9t = 4t + 27 Combine like terms: -6t + 9t = 3t -12 + 3t = 4t + 27 Reorder the terms: -12 + 3t = 27 + 4t Solving -12 + 3t = 27 + 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. -12 + 3t + -4t = 27 + 4t + -4t Combine like terms: 3t + -4t = -1t -12 + -1t = 27 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + -1t = 27 + 0 -12 + -1t = 27 Add '12' to each side of the equation. -12 + 12 + -1t = 27 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = 27 + 12 -1t = 27 + 12 Combine like terms: 27 + 12 = 39 -1t = 39 Divide each side by '-1'. t = -39 Simplifying t = -39
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