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Simplifying 3(4 + -2t) = t + -9 (4 * 3 + -2t * 3) = t + -9 (12 + -6t) = t + -9 Reorder the terms: 12 + -6t = -9 + t Solving 12 + -6t = -9 + t 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. 12 + -6t + -1t = -9 + t + -1t Combine like terms: -6t + -1t = -7t 12 + -7t = -9 + t + -1t Combine like terms: t + -1t = 0 12 + -7t = -9 + 0 12 + -7t = -9 Add '-12' to each side of the equation. 12 + -12 + -7t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -9 + -12 -7t = -9 + -12 Combine like terms: -9 + -12 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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