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Simplifying 2t + -7 = 3(t + 4) Reorder the terms: -7 + 2t = 3(t + 4) Reorder the terms: -7 + 2t = 3(4 + t) -7 + 2t = (4 * 3 + t * 3) -7 + 2t = (12 + 3t) Solving -7 + 2t = 12 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -7 + 2t + -3t = 12 + 3t + -3t Combine like terms: 2t + -3t = -1t -7 + -1t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 -7 + -1t = 12 + 0 -7 + -1t = 12 Add '7' to each side of the equation. -7 + 7 + -1t = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 12 + 7 -1t = 12 + 7 Combine like terms: 12 + 7 = 19 -1t = 19 Divide each side by '-1'. t = -19 Simplifying t = -19
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