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Simplifying 2t + 13 = 6t + -3 Reorder the terms: 13 + 2t = 6t + -3 Reorder the terms: 13 + 2t = -3 + 6t Solving 13 + 2t = -3 + 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. 13 + 2t + -6t = -3 + 6t + -6t Combine like terms: 2t + -6t = -4t 13 + -4t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 13 + -4t = -3 + 0 13 + -4t = -3 Add '-13' to each side of the equation. 13 + -13 + -4t = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = -3 + -13 -4t = -3 + -13 Combine like terms: -3 + -13 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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