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Simplifying 3t + 12 = 6t + -15 Reorder the terms: 12 + 3t = 6t + -15 Reorder the terms: 12 + 3t = -15 + 6t Solving 12 + 3t = -15 + 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. 12 + 3t + -6t = -15 + 6t + -6t Combine like terms: 3t + -6t = -3t 12 + -3t = -15 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -3t = -15 + 0 12 + -3t = -15 Add '-12' to each side of the equation. 12 + -12 + -3t = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -3t = -15 + -12 -3t = -15 + -12 Combine like terms: -15 + -12 = -27 -3t = -27 Divide each side by '-3'. t = 9 Simplifying t = 9
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