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Simplifying 6q + -178 = 2(6 + -4q) + -5q Reorder the terms: -178 + 6q = 2(6 + -4q) + -5q -178 + 6q = (6 * 2 + -4q * 2) + -5q -178 + 6q = (12 + -8q) + -5q Combine like terms: -8q + -5q = -13q -178 + 6q = 12 + -13q Solving -178 + 6q = 12 + -13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13q' to each side of the equation. -178 + 6q + 13q = 12 + -13q + 13q Combine like terms: 6q + 13q = 19q -178 + 19q = 12 + -13q + 13q Combine like terms: -13q + 13q = 0 -178 + 19q = 12 + 0 -178 + 19q = 12 Add '178' to each side of the equation. -178 + 178 + 19q = 12 + 178 Combine like terms: -178 + 178 = 0 0 + 19q = 12 + 178 19q = 12 + 178 Combine like terms: 12 + 178 = 190 19q = 190 Divide each side by '19'. q = 10 Simplifying q = 10
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