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Simplifying 7(3q + -10) = 11(3q + -2) Reorder the terms: 7(-10 + 3q) = 11(3q + -2) (-10 * 7 + 3q * 7) = 11(3q + -2) (-70 + 21q) = 11(3q + -2) Reorder the terms: -70 + 21q = 11(-2 + 3q) -70 + 21q = (-2 * 11 + 3q * 11) -70 + 21q = (-22 + 33q) Solving -70 + 21q = -22 + 33q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-33q' to each side of the equation. -70 + 21q + -33q = -22 + 33q + -33q Combine like terms: 21q + -33q = -12q -70 + -12q = -22 + 33q + -33q Combine like terms: 33q + -33q = 0 -70 + -12q = -22 + 0 -70 + -12q = -22 Add '70' to each side of the equation. -70 + 70 + -12q = -22 + 70 Combine like terms: -70 + 70 = 0 0 + -12q = -22 + 70 -12q = -22 + 70 Combine like terms: -22 + 70 = 48 -12q = 48 Divide each side by '-12'. q = -4 Simplifying q = -4
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