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Simplifying 2t + 16 = 6t + -12 Reorder the terms: 16 + 2t = 6t + -12 Reorder the terms: 16 + 2t = -12 + 6t Solving 16 + 2t = -12 + 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. 16 + 2t + -6t = -12 + 6t + -6t Combine like terms: 2t + -6t = -4t 16 + -4t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -4t = -12 + 0 16 + -4t = -12 Add '-16' to each side of the equation. 16 + -16 + -4t = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = -12 + -16 -4t = -12 + -16 Combine like terms: -12 + -16 = -28 -4t = -28 Divide each side by '-4'. t = 7 Simplifying t = 7
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