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Simplifying -3(q + -4) + 15 = -51(q + -7) + -10 Reorder the terms: -3(-4 + q) + 15 = -51(q + -7) + -10 (-4 * -3 + q * -3) + 15 = -51(q + -7) + -10 (12 + -3q) + 15 = -51(q + -7) + -10 Reorder the terms: 12 + 15 + -3q = -51(q + -7) + -10 Combine like terms: 12 + 15 = 27 27 + -3q = -51(q + -7) + -10 Reorder the terms: 27 + -3q = -51(-7 + q) + -10 27 + -3q = (-7 * -51 + q * -51) + -10 27 + -3q = (357 + -51q) + -10 Reorder the terms: 27 + -3q = 357 + -10 + -51q Combine like terms: 357 + -10 = 347 27 + -3q = 347 + -51q Solving 27 + -3q = 347 + -51q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '51q' to each side of the equation. 27 + -3q + 51q = 347 + -51q + 51q Combine like terms: -3q + 51q = 48q 27 + 48q = 347 + -51q + 51q Combine like terms: -51q + 51q = 0 27 + 48q = 347 + 0 27 + 48q = 347 Add '-27' to each side of the equation. 27 + -27 + 48q = 347 + -27 Combine like terms: 27 + -27 = 0 0 + 48q = 347 + -27 48q = 347 + -27 Combine like terms: 347 + -27 = 320 48q = 320 Divide each side by '48'. q = 6.666666667 Simplifying q = 6.666666667
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