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Simplifying 3(2 + -6) = 2(3t + -9) Combine like terms: 2 + -6 = -4 3(-4) = 2(3t + -9) Multiply 3 * -4 -12 = 2(3t + -9) Reorder the terms: -12 = 2(-9 + 3t) -12 = (-9 * 2 + 3t * 2) -12 = (-18 + 6t) Solving -12 = -18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -12 + -6t = -18 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + -6t = -18 + 0 -12 + -6t = -18 Add '12' to each side of the equation. -12 + 12 + -6t = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -6t = -18 + 12 -6t = -18 + 12 Combine like terms: -18 + 12 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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