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Simplifying -11q + 13q + -19 = 14 + -7(-2q + -9) Reorder the terms: -19 + -11q + 13q = 14 + -7(-2q + -9) Combine like terms: -11q + 13q = 2q -19 + 2q = 14 + -7(-2q + -9) Reorder the terms: -19 + 2q = 14 + -7(-9 + -2q) -19 + 2q = 14 + (-9 * -7 + -2q * -7) -19 + 2q = 14 + (63 + 14q) Combine like terms: 14 + 63 = 77 -19 + 2q = 77 + 14q Solving -19 + 2q = 77 + 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. -19 + 2q + -14q = 77 + 14q + -14q Combine like terms: 2q + -14q = -12q -19 + -12q = 77 + 14q + -14q Combine like terms: 14q + -14q = 0 -19 + -12q = 77 + 0 -19 + -12q = 77 Add '19' to each side of the equation. -19 + 19 + -12q = 77 + 19 Combine like terms: -19 + 19 = 0 0 + -12q = 77 + 19 -12q = 77 + 19 Combine like terms: 77 + 19 = 96 -12q = 96 Divide each side by '-12'. q = -8 Simplifying q = -8
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