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Simplifying 3t + -7 = 4(t + 6) Reorder the terms: -7 + 3t = 4(t + 6) Reorder the terms: -7 + 3t = 4(6 + t) -7 + 3t = (6 * 4 + t * 4) -7 + 3t = (24 + 4t) Solving -7 + 3t = 24 + 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. -7 + 3t + -4t = 24 + 4t + -4t Combine like terms: 3t + -4t = -1t -7 + -1t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -7 + -1t = 24 + 0 -7 + -1t = 24 Add '7' to each side of the equation. -7 + 7 + -1t = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 24 + 7 -1t = 24 + 7 Combine like terms: 24 + 7 = 31 -1t = 31 Divide each side by '-1'. t = -31 Simplifying t = -31
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