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Simplifying 3q + 101 + -4q + -33 = 108 + -16q + -100 Reorder the terms: 101 + -33 + 3q + -4q = 108 + -16q + -100 Combine like terms: 101 + -33 = 68 68 + 3q + -4q = 108 + -16q + -100 Combine like terms: 3q + -4q = -1q 68 + -1q = 108 + -16q + -100 Reorder the terms: 68 + -1q = 108 + -100 + -16q Combine like terms: 108 + -100 = 8 68 + -1q = 8 + -16q Solving 68 + -1q = 8 + -16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16q' to each side of the equation. 68 + -1q + 16q = 8 + -16q + 16q Combine like terms: -1q + 16q = 15q 68 + 15q = 8 + -16q + 16q Combine like terms: -16q + 16q = 0 68 + 15q = 8 + 0 68 + 15q = 8 Add '-68' to each side of the equation. 68 + -68 + 15q = 8 + -68 Combine like terms: 68 + -68 = 0 0 + 15q = 8 + -68 15q = 8 + -68 Combine like terms: 8 + -68 = -60 15q = -60 Divide each side by '15'. q = -4 Simplifying q = -4
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