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Simplifying 15(q + -7) = 4(q + 4) Reorder the terms: 15(-7 + q) = 4(q + 4) (-7 * 15 + q * 15) = 4(q + 4) (-105 + 15q) = 4(q + 4) Reorder the terms: -105 + 15q = 4(4 + q) -105 + 15q = (4 * 4 + q * 4) -105 + 15q = (16 + 4q) Solving -105 + 15q = 16 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -105 + 15q + -4q = 16 + 4q + -4q Combine like terms: 15q + -4q = 11q -105 + 11q = 16 + 4q + -4q Combine like terms: 4q + -4q = 0 -105 + 11q = 16 + 0 -105 + 11q = 16 Add '105' to each side of the equation. -105 + 105 + 11q = 16 + 105 Combine like terms: -105 + 105 = 0 0 + 11q = 16 + 105 11q = 16 + 105 Combine like terms: 16 + 105 = 121 11q = 121 Divide each side by '11'. q = 11 Simplifying q = 11
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