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Simplifying 4(8q + -5) = 19q + 10 + 15q Reorder the terms: 4(-5 + 8q) = 19q + 10 + 15q (-5 * 4 + 8q * 4) = 19q + 10 + 15q (-20 + 32q) = 19q + 10 + 15q Reorder the terms: -20 + 32q = 10 + 19q + 15q Combine like terms: 19q + 15q = 34q -20 + 32q = 10 + 34q Solving -20 + 32q = 10 + 34q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-34q' to each side of the equation. -20 + 32q + -34q = 10 + 34q + -34q Combine like terms: 32q + -34q = -2q -20 + -2q = 10 + 34q + -34q Combine like terms: 34q + -34q = 0 -20 + -2q = 10 + 0 -20 + -2q = 10 Add '20' to each side of the equation. -20 + 20 + -2q = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -2q = 10 + 20 -2q = 10 + 20 Combine like terms: 10 + 20 = 30 -2q = 30 Divide each side by '-2'. q = -15 Simplifying q = -15
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