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Simplifying 9t + -21 = 3(x + -7) * 6 + t Reorder the terms: -21 + 9t = 3(x + -7) * 6 + t Reorder the terms: -21 + 9t = 3(-7 + x) * 6 + t Reorder the terms for easier multiplication: -21 + 9t = 3 * 6(-7 + x) + t Multiply 3 * 6 -21 + 9t = 18(-7 + x) + t -21 + 9t = (-7 * 18 + x * 18) + t -21 + 9t = (-126 + 18x) + t Reorder the terms: -21 + 9t = -126 + t + 18x Solving -21 + 9t = -126 + t + 18x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -21 + 9t + -1t = -126 + t + -1t + 18x Combine like terms: 9t + -1t = 8t -21 + 8t = -126 + t + -1t + 18x Combine like terms: t + -1t = 0 -21 + 8t = -126 + 0 + 18x -21 + 8t = -126 + 18x Add '21' to each side of the equation. -21 + 21 + 8t = -126 + 21 + 18x Combine like terms: -21 + 21 = 0 0 + 8t = -126 + 21 + 18x 8t = -126 + 21 + 18x Combine like terms: -126 + 21 = -105 8t = -105 + 18x Divide each side by '8'. t = -13.125 + 2.25x Simplifying t = -13.125 + 2.25x
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