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Simplifying 3(2 + -6) = 3t + -9 Combine like terms: 2 + -6 = -4 3(-4) = 3t + -9 Multiply 3 * -4 -12 = 3t + -9 Reorder the terms: -12 = -9 + 3t Solving -12 = -9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -12 + -3t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + -3t = -9 + 0 -12 + -3t = -9 Add '12' to each side of the equation. -12 + 12 + -3t = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = -9 + 12 -3t = -9 + 12 Combine like terms: -9 + 12 = 3 -3t = 3 Divide each side by '-3'. t = -1 Simplifying t = -1
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