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Simplifying 2(3t + -6) = 14t + -1t + 6 Reorder the terms: 2(-6 + 3t) = 14t + -1t + 6 (-6 * 2 + 3t * 2) = 14t + -1t + 6 (-12 + 6t) = 14t + -1t + 6 Reorder the terms: -12 + 6t = 6 + 14t + -1t Combine like terms: 14t + -1t = 13t -12 + 6t = 6 + 13t Solving -12 + 6t = 6 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -12 + 6t + -13t = 6 + 13t + -13t Combine like terms: 6t + -13t = -7t -12 + -7t = 6 + 13t + -13t Combine like terms: 13t + -13t = 0 -12 + -7t = 6 + 0 -12 + -7t = 6 Add '12' to each side of the equation. -12 + 12 + -7t = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -7t = 6 + 12 -7t = 6 + 12 Combine like terms: 6 + 12 = 18 -7t = 18 Divide each side by '-7'. t = -2.571428571 Simplifying t = -2.571428571
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