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Simplifying 2(t + -5) = 7t + 12 Reorder the terms: 2(-5 + t) = 7t + 12 (-5 * 2 + t * 2) = 7t + 12 (-10 + 2t) = 7t + 12 Reorder the terms: -10 + 2t = 12 + 7t Solving -10 + 2t = 12 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -10 + 2t + -7t = 12 + 7t + -7t Combine like terms: 2t + -7t = -5t -10 + -5t = 12 + 7t + -7t Combine like terms: 7t + -7t = 0 -10 + -5t = 12 + 0 -10 + -5t = 12 Add '10' to each side of the equation. -10 + 10 + -5t = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -5t = 12 + 10 -5t = 12 + 10 Combine like terms: 12 + 10 = 22 -5t = 22 Divide each side by '-5'. t = -4.4 Simplifying t = -4.4
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