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Simplifying 9 + -21 = 3(t + -7) + 6t Combine like terms: 9 + -21 = -12 -12 = 3(t + -7) + 6t Reorder the terms: -12 = 3(-7 + t) + 6t -12 = (-7 * 3 + t * 3) + 6t -12 = (-21 + 3t) + 6t Combine like terms: 3t + 6t = 9t -12 = -21 + 9t Solving -12 = -21 + 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. -12 + -9t = -21 + 9t + -9t Combine like terms: 9t + -9t = 0 -12 + -9t = -21 + 0 -12 + -9t = -21 Add '12' to each side of the equation. -12 + 12 + -9t = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -9t = -21 + 12 -9t = -21 + 12 Combine like terms: -21 + 12 = -9 -9t = -9 Divide each side by '-9'. t = 1 Simplifying t = 1
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