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Simplifying 12 + 3(t + -5) = 6t + 1 Reorder the terms: 12 + 3(-5 + t) = 6t + 1 12 + (-5 * 3 + t * 3) = 6t + 1 12 + (-15 + 3t) = 6t + 1 Combine like terms: 12 + -15 = -3 -3 + 3t = 6t + 1 Reorder the terms: -3 + 3t = 1 + 6t Solving -3 + 3t = 1 + 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. -3 + 3t + -6t = 1 + 6t + -6t Combine like terms: 3t + -6t = -3t -3 + -3t = 1 + 6t + -6t Combine like terms: 6t + -6t = 0 -3 + -3t = 1 + 0 -3 + -3t = 1 Add '3' to each side of the equation. -3 + 3 + -3t = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = 1 + 3 -3t = 1 + 3 Combine like terms: 1 + 3 = 4 -3t = 4 Divide each side by '-3'. t = -1.333333333 Simplifying t = -1.333333333
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