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Simplifying 10q + -36 = 2(3q + 4) Reorder the terms: -36 + 10q = 2(3q + 4) Reorder the terms: -36 + 10q = 2(4 + 3q) -36 + 10q = (4 * 2 + 3q * 2) -36 + 10q = (8 + 6q) Solving -36 + 10q = 8 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -36 + 10q + -6q = 8 + 6q + -6q Combine like terms: 10q + -6q = 4q -36 + 4q = 8 + 6q + -6q Combine like terms: 6q + -6q = 0 -36 + 4q = 8 + 0 -36 + 4q = 8 Add '36' to each side of the equation. -36 + 36 + 4q = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 4q = 8 + 36 4q = 8 + 36 Combine like terms: 8 + 36 = 44 4q = 44 Divide each side by '4'. q = 11 Simplifying q = 11
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