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Simplifying 3t + 15 = 4t + -7 Reorder the terms: 15 + 3t = 4t + -7 Reorder the terms: 15 + 3t = -7 + 4t Solving 15 + 3t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 15 + 3t + -4t = -7 + 4t + -4t Combine like terms: 3t + -4t = -1t 15 + -1t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 15 + -1t = -7 + 0 15 + -1t = -7 Add '-15' to each side of the equation. 15 + -15 + -1t = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -1t = -7 + -15 -1t = -7 + -15 Combine like terms: -7 + -15 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22
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