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Simplifying 12 = 7t + -3(t + 2) Reorder the terms: 12 = 7t + -3(2 + t) 12 = 7t + (2 * -3 + t * -3) 12 = 7t + (-6 + -3t) Reorder the terms: 12 = -6 + 7t + -3t Combine like terms: 7t + -3t = 4t 12 = -6 + 4t Solving 12 = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -4t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -4t = -6 + 0 12 + -4t = -6 Add '-12' to each side of the equation. 12 + -12 + -4t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = -6 + -12 -4t = -6 + -12 Combine like terms: -6 + -12 = -18 -4t = -18 Divide each side by '-4'. t = 4.5 Simplifying t = 4.5
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