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Simplifying -10 + -2(7q + 19) = -11q Reorder the terms: -10 + -2(19 + 7q) = -11q -10 + (19 * -2 + 7q * -2) = -11q -10 + (-38 + -14q) = -11q Combine like terms: -10 + -38 = -48 -48 + -14q = -11q Solving -48 + -14q = -11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11q' to each side of the equation. -48 + -14q + 11q = -11q + 11q Combine like terms: -14q + 11q = -3q -48 + -3q = -11q + 11q Combine like terms: -11q + 11q = 0 -48 + -3q = 0 Add '48' to each side of the equation. -48 + 48 + -3q = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -3q = 0 + 48 -3q = 0 + 48 Combine like terms: 0 + 48 = 48 -3q = 48 Divide each side by '-3'. q = -16 Simplifying q = -16
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