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Simplifying (5q + -7) = 4(8q + 16) Reorder the terms: (-7 + 5q) = 4(8q + 16) Remove parenthesis around (-7 + 5q) -7 + 5q = 4(8q + 16) Reorder the terms: -7 + 5q = 4(16 + 8q) -7 + 5q = (16 * 4 + 8q * 4) -7 + 5q = (64 + 32q) Solving -7 + 5q = 64 + 32q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-32q' to each side of the equation. -7 + 5q + -32q = 64 + 32q + -32q Combine like terms: 5q + -32q = -27q -7 + -27q = 64 + 32q + -32q Combine like terms: 32q + -32q = 0 -7 + -27q = 64 + 0 -7 + -27q = 64 Add '7' to each side of the equation. -7 + 7 + -27q = 64 + 7 Combine like terms: -7 + 7 = 0 0 + -27q = 64 + 7 -27q = 64 + 7 Combine like terms: 64 + 7 = 71 -27q = 71 Divide each side by '-27'. q = -2.62962963 Simplifying q = -2.62962963
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