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Simplifying 2t + -4 = 3(t + -7) Reorder the terms: -4 + 2t = 3(t + -7) Reorder the terms: -4 + 2t = 3(-7 + t) -4 + 2t = (-7 * 3 + t * 3) -4 + 2t = (-21 + 3t) Solving -4 + 2t = -21 + 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. -4 + 2t + -3t = -21 + 3t + -3t Combine like terms: 2t + -3t = -1t -4 + -1t = -21 + 3t + -3t Combine like terms: 3t + -3t = 0 -4 + -1t = -21 + 0 -4 + -1t = -21 Add '4' to each side of the equation. -4 + 4 + -1t = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = -21 + 4 -1t = -21 + 4 Combine like terms: -21 + 4 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17
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