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Simplifying [7(q + 5) + -19] + -1[2(q + -4) + 1] = 0 Reorder the terms: [7(5 + q) + -19] + -1[2(q + -4) + 1] = 0 [(5 * 7 + q * 7) + -19] + -1[2(q + -4) + 1] = 0 [(35 + 7q) + -19] + -1[2(q + -4) + 1] = 0 Reorder the terms: [35 + -19 + 7q] + -1[2(q + -4) + 1] = 0 Combine like terms: 35 + -19 = 16 [16 + 7q] + -1[2(q + -4) + 1] = 0 Remove brackets around [16 + 7q] 16 + 7q + -1[2(q + -4) + 1] = 0 Reorder the terms: 16 + 7q + -1[2(-4 + q) + 1] = 0 16 + 7q + -1[(-4 * 2 + q * 2) + 1] = 0 16 + 7q + -1[(-8 + 2q) + 1] = 0 Reorder the terms: 16 + 7q + -1[-8 + 1 + 2q] = 0 Combine like terms: -8 + 1 = -7 16 + 7q + -1[-7 + 2q] = 0 16 + 7q + [-7 * -1 + 2q * -1] = 0 16 + 7q + [7 + -2q] = 0 Reorder the terms: 16 + 7 + 7q + -2q = 0 Combine like terms: 16 + 7 = 23 23 + 7q + -2q = 0 Combine like terms: 7q + -2q = 5q 23 + 5q = 0 Solving 23 + 5q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5q = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5q = 0 + -23 5q = 0 + -23 Combine like terms: 0 + -23 = -23 5q = -23 Divide each side by '5'. q = -4.6 Simplifying q = -4.6
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