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Simplifying t + -17 + 3t = 3(2t + -7) Reorder the terms: -17 + t + 3t = 3(2t + -7) Combine like terms: t + 3t = 4t -17 + 4t = 3(2t + -7) Reorder the terms: -17 + 4t = 3(-7 + 2t) -17 + 4t = (-7 * 3 + 2t * 3) -17 + 4t = (-21 + 6t) Solving -17 + 4t = -21 + 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. -17 + 4t + -6t = -21 + 6t + -6t Combine like terms: 4t + -6t = -2t -17 + -2t = -21 + 6t + -6t Combine like terms: 6t + -6t = 0 -17 + -2t = -21 + 0 -17 + -2t = -21 Add '17' to each side of the equation. -17 + 17 + -2t = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -2t = -21 + 17 -2t = -21 + 17 Combine like terms: -21 + 17 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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