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Simplifying 3 * 4 + -3 * 2t = 5 + t Multiply 3 * 4 12 + -3 * 2t = 5 + t Multiply -3 * 2 12 + -6t = 5 + t Solving 12 + -6t = 5 + 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 = 5 + t + -1t Combine like terms: -6t + -1t = -7t 12 + -7t = 5 + t + -1t Combine like terms: t + -1t = 0 12 + -7t = 5 + 0 12 + -7t = 5 Add '-12' to each side of the equation. 12 + -12 + -7t = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = 5 + -12 -7t = 5 + -12 Combine like terms: 5 + -12 = -7 -7t = -7 Divide each side by '-7'. t = 1 Simplifying t = 1
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