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Simplifying -7 * 9q + 1 * 9 = 51 * 7 + -1 * 2q Multiply -7 * 9 -63q + 1 * 9 = 51 * 7 + -1 * 2q Multiply 1 * 9 -63q + 9 = 51 * 7 + -1 * 2q Reorder the terms: 9 + -63q = 51 * 7 + -1 * 2q Multiply 51 * 7 9 + -63q = 357 + -1 * 2q Multiply -1 * 2 9 + -63q = 357 + -2q Solving 9 + -63q = 357 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 9 + -63q + 2q = 357 + -2q + 2q Combine like terms: -63q + 2q = -61q 9 + -61q = 357 + -2q + 2q Combine like terms: -2q + 2q = 0 9 + -61q = 357 + 0 9 + -61q = 357 Add '-9' to each side of the equation. 9 + -9 + -61q = 357 + -9 Combine like terms: 9 + -9 = 0 0 + -61q = 357 + -9 -61q = 357 + -9 Combine like terms: 357 + -9 = 348 -61q = 348 Divide each side by '-61'. q = -5.704918033 Simplifying q = -5.704918033
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