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Simplifying 5 + -4(3q + 8) = 13 + -10q Reorder the terms: 5 + -4(8 + 3q) = 13 + -10q 5 + (8 * -4 + 3q * -4) = 13 + -10q 5 + (-32 + -12q) = 13 + -10q Combine like terms: 5 + -32 = -27 -27 + -12q = 13 + -10q Solving -27 + -12q = 13 + -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. -27 + -12q + 10q = 13 + -10q + 10q Combine like terms: -12q + 10q = -2q -27 + -2q = 13 + -10q + 10q Combine like terms: -10q + 10q = 0 -27 + -2q = 13 + 0 -27 + -2q = 13 Add '27' to each side of the equation. -27 + 27 + -2q = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -2q = 13 + 27 -2q = 13 + 27 Combine like terms: 13 + 27 = 40 -2q = 40 Divide each side by '-2'. q = -20 Simplifying q = -20
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