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Simplifying 2(t + -7) = 6t Reorder the terms: 2(-7 + t) = 6t (-7 * 2 + t * 2) = 6t (-14 + 2t) = 6t Solving -14 + 2t = 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. -14 + 2t + -6t = 6t + -6t Combine like terms: 2t + -6t = -4t -14 + -4t = 6t + -6t Combine like terms: 6t + -6t = 0 -14 + -4t = 0 Add '14' to each side of the equation. -14 + 14 + -4t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -4t = 0 + 14 -4t = 0 + 14 Combine like terms: 0 + 14 = 14 -4t = 14 Divide each side by '-4'. t = -3.5 Simplifying t = -3.5
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