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Simplifying 2(q + -8) + 7 = 6(q + 2) + -3q + -19 Reorder the terms: 2(-8 + q) + 7 = 6(q + 2) + -3q + -19 (-8 * 2 + q * 2) + 7 = 6(q + 2) + -3q + -19 (-16 + 2q) + 7 = 6(q + 2) + -3q + -19 Reorder the terms: -16 + 7 + 2q = 6(q + 2) + -3q + -19 Combine like terms: -16 + 7 = -9 -9 + 2q = 6(q + 2) + -3q + -19 Reorder the terms: -9 + 2q = 6(2 + q) + -3q + -19 -9 + 2q = (2 * 6 + q * 6) + -3q + -19 -9 + 2q = (12 + 6q) + -3q + -19 Reorder the terms: -9 + 2q = 12 + -19 + 6q + -3q Combine like terms: 12 + -19 = -7 -9 + 2q = -7 + 6q + -3q Combine like terms: 6q + -3q = 3q -9 + 2q = -7 + 3q Solving -9 + 2q = -7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -9 + 2q + -3q = -7 + 3q + -3q Combine like terms: 2q + -3q = -1q -9 + -1q = -7 + 3q + -3q Combine like terms: 3q + -3q = 0 -9 + -1q = -7 + 0 -9 + -1q = -7 Add '9' to each side of the equation. -9 + 9 + -1q = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -1q = -7 + 9 -1q = -7 + 9 Combine like terms: -7 + 9 = 2 -1q = 2 Divide each side by '-1'. q = -2 Simplifying q = -2
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