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Simplifying 7(3q + -5) + -7 = 7(2q + -8) Reorder the terms: 7(-5 + 3q) + -7 = 7(2q + -8) (-5 * 7 + 3q * 7) + -7 = 7(2q + -8) (-35 + 21q) + -7 = 7(2q + -8) Reorder the terms: -35 + -7 + 21q = 7(2q + -8) Combine like terms: -35 + -7 = -42 -42 + 21q = 7(2q + -8) Reorder the terms: -42 + 21q = 7(-8 + 2q) -42 + 21q = (-8 * 7 + 2q * 7) -42 + 21q = (-56 + 14q) Solving -42 + 21q = -56 + 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. -42 + 21q + -14q = -56 + 14q + -14q Combine like terms: 21q + -14q = 7q -42 + 7q = -56 + 14q + -14q Combine like terms: 14q + -14q = 0 -42 + 7q = -56 + 0 -42 + 7q = -56 Add '42' to each side of the equation. -42 + 42 + 7q = -56 + 42 Combine like terms: -42 + 42 = 0 0 + 7q = -56 + 42 7q = -56 + 42 Combine like terms: -56 + 42 = -14 7q = -14 Divide each side by '7'. q = -2 Simplifying q = -2
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