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Simplifying 7q + 14 = 5(2q) + -55 Reorder the terms: 14 + 7q = 5(2q) + -55 Remove parenthesis around (2q) 14 + 7q = 5 * 2q + -55 Multiply 5 * 2 14 + 7q = 10q + -55 Reorder the terms: 14 + 7q = -55 + 10q Solving 14 + 7q = -55 + 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. 14 + 7q + -10q = -55 + 10q + -10q Combine like terms: 7q + -10q = -3q 14 + -3q = -55 + 10q + -10q Combine like terms: 10q + -10q = 0 14 + -3q = -55 + 0 14 + -3q = -55 Add '-14' to each side of the equation. 14 + -14 + -3q = -55 + -14 Combine like terms: 14 + -14 = 0 0 + -3q = -55 + -14 -3q = -55 + -14 Combine like terms: -55 + -14 = -69 -3q = -69 Divide each side by '-3'. q = 23 Simplifying q = 23
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