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Simplifying 7(-3q + 2) = 8(3q + -2) Reorder the terms: 7(2 + -3q) = 8(3q + -2) (2 * 7 + -3q * 7) = 8(3q + -2) (14 + -21q) = 8(3q + -2) Reorder the terms: 14 + -21q = 8(-2 + 3q) 14 + -21q = (-2 * 8 + 3q * 8) 14 + -21q = (-16 + 24q) Solving 14 + -21q = -16 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. 14 + -21q + -24q = -16 + 24q + -24q Combine like terms: -21q + -24q = -45q 14 + -45q = -16 + 24q + -24q Combine like terms: 24q + -24q = 0 14 + -45q = -16 + 0 14 + -45q = -16 Add '-14' to each side of the equation. 14 + -14 + -45q = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -45q = -16 + -14 -45q = -16 + -14 Combine like terms: -16 + -14 = -30 -45q = -30 Divide each side by '-45'. q = 0.6666666667 Simplifying q = 0.6666666667
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