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Simplifying 7(q + -4) + 3(q + -5) = -23 Reorder the terms: 7(-4 + q) + 3(q + -5) = -23 (-4 * 7 + q * 7) + 3(q + -5) = -23 (-28 + 7q) + 3(q + -5) = -23 Reorder the terms: -28 + 7q + 3(-5 + q) = -23 -28 + 7q + (-5 * 3 + q * 3) = -23 -28 + 7q + (-15 + 3q) = -23 Reorder the terms: -28 + -15 + 7q + 3q = -23 Combine like terms: -28 + -15 = -43 -43 + 7q + 3q = -23 Combine like terms: 7q + 3q = 10q -43 + 10q = -23 Solving -43 + 10q = -23 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 10q = -23 + 43 Combine like terms: -43 + 43 = 0 0 + 10q = -23 + 43 10q = -23 + 43 Combine like terms: -23 + 43 = 20 10q = 20 Divide each side by '10'. q = 2 Simplifying q = 2
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